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# How do you figure greatest common factor?

Updated: 8/31/2023

Wiki User

13y ago

To find the greatest common factor (GCF), first find the prime factorization of the two numbers.

The GCF is the product of all of the prime factors the two numbers have in common.

If two numbers have no common factors, the GCF is 1. (Since all numbers are divisible by 1.)

Example: Find the GCF of 60 and 24.

Prime factors of 60: 2, 2, 3, 5

Prime factors of 24: 2, 2, 2, 3

Common factors: 2, 2, 3

GCF: 2x2x3=12

Example: Find the GCF of 17 and 21.

Prime factors of 17: 17

Prime factors of 21: 3, 7

Common factors: None (1).

GCF: 1

Wiki User

13y ago

Wiki User

7y ago

The concept of factors (and common factors) is applicable to whole numbers, not to fractions. The numerator and denominator of a rational fraction are integers and they can have a greatest common factor but that is not a factor of the fraction.

Wiki User

12y ago

when the numbers are the same and you can't go any higher than that

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### What is the greatest common factor of 30 36 and 54?

figure out urself

### The greatest factor that two or more numbers have common is the greatest common factor or what?

The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.

### What does cancel any common factors in fractions?

Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.

### What is the greatest common factor for 28?

There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.

### How do you figure out two number's greatest common factors?

One solution would be to list the factors of the two numbers and find all the common factors. The greatest one would be the greatest common factor.

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### What is the greatest common factor of 32x?

There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor is the largest factor common to two or more numbers.

### The greatest common factor of 32 and 24?

The Greatest Common Factor (GCF) is: 8

### What is the greatest common factor of 38 and 4?

The greatest common factor is 2

### What are the greatest common factor for 42 and 12?

The greatest common factor of 42 and 12 is 6.

### Is the greatest common factor how many of each type?

No. The Greatest Common Factor (GCF) is the greatest factor that is in common with the numbers you are given.

### 24 is the greatest common factor of what number?

24 is not the greatest common factor of any single number. Common factors are the factors that two or more numbers have in common. The greatest common factor is the largest factor that two or more numbers have in common. There cannot be any common factors or a greatest common factor of a single number. There must be at least two number for common factors and a greatest common factor. Example: The greatest common factor of 24 and 48 is 24. The greatest common factor of 60 and 144 is 24. The greatest common factor of 240 and 264 is 24.