Greatest Common Factor Calculator
Date: Find the greatest common factor. 1). 12, Common Factors are: GCF: 5. 5). 64, Common Factors are: 1, 2, 4, 8, GCF: Solve each word problem by finding GCF or LCM. 1. when will be the next date on which she has both swimming and diving lessons? 4 – 4, 8, 12, 16, 20, Date factors is called the greatest common factor (GCF). There are several different ways to find the GCF of two or more numbers. Example 1 Write a set of two numbers that have a GCF of Explain how you FABRIC You have two pieces of fabric. One piece is 6 feet wide and the other piece is feet wide. You.
In this example, 5 and 0 are factors of 0. However, GCF 0, 0 is undefined.
The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. Factoring To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder.
Given the list of common factors for each number, the GCF is the largest number common to each list. Find the GCF of 18 and 27 The factors of 18 are 1, 2, 3, 6, 9, The factors of 27 are 1, 3, 9, The common factors of 18 and 27 are 1, 3 and 9. The greatest common factor of 18 and 27 is 9. Find the GCF of 20, 50 and The factors of 20 are 1, 2, 4, 5, 10, The factors of 50 are 1, 2, 5, 10, 25, The factors of are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, The common factors of 20, 50 and are 1, 2, 5 and Include only the factors common to all three numbers.
The greatest common factor of 20, 50 and is Prime Factorization To find the GCF by prime factorization, list out all of the prime factors of each number or find them with a Prime Factors Calculator. The factors of 25? It's actually 5 times 5. It's interesting that this only has 3 factors. I'll leave you to think about why this number only has 3 factors and other numbers tend to have an even number of factors. And then now we do the factors of Factors of 20 are 1, 2, 4, 5, 10, and And if we just look at this by inspection we see, well, they both share 1, but that's nothing special.
But they both have the common factor of? You got it-- 5. So the greatest common divisor or greatest common factor of 25 and well, that equals 5. What is the greatest common factor of 5 and 12?
Well, factors of 5? That's because it's a prime number. It has no factors other than 1 and itself. Then the factors of 12? It's 1, 2, 3, 4, 6, and So it really looks like only common factor they share is 1. So that was, I guess, in some ways kind of disappointing.
So the greatest common factor of 5 and 12 is 1.
And I'll throw out some terminology here for you. When two numbers have a greatest common factor of only 1, they're called relatively prime. And that kind of makes sense because a prime number is something that only has 1 and itself as a factor. And two relatively prime numbers are numbers that only have 1 as their greatest common factor.
Greatest Common Factor GCF Calculator
Hope I didn't confuse you. Let's do the greatest common divisor of 6 and I know 12's coming up a lot. I'll try to be more creative when I think of my numbers.
Well, the greatest common divisor of 6 and 12? Well, it's the factors of 6. Are 1, 2, 3, and 6. Well, it turns out 1 is a common factor of both.
And 6 is a common factor of both. And of course, what's the greatest common factor? So in this situation the greatest common divisor-- and I apologize that I keep switching between divisor and factor.
Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy
The mathematics community should settle on one of the two. The greatest common divisor of 6 and 12 equals 6.
- Greatest common factor explained
So it actually equals one of the numbers. And that makes a lot of sense because 6 actually is divisible into