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# What does greatest common factor means?

Updated: 8/30/2023

Wiki User

11y ago

It is the lowest common number between to initila numbers.

Ex.: GCF of 2,3 & 4 is 12

2: 2, 4, 6, 8, 10, 12, 14,16, 20...

3: 3, 6, 9, 12, 15, 18, 21...

4: 4, 8, 12, 16, 20...

Wiki User

11y ago

Wiki User

6y ago

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is the greatest common factor, or GCF.

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.

Wiki User

8y ago

All numbers have factors. Some numbers have some of the same factors as other numbers. We call these common factors. The largest of these is known as the greatest common factor, or GCF.

Wiki User

11y ago

It is a factor of each of the numbers and it is the greatest number that has that property.

Wiki User

10y ago

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.

Wiki User

6y ago

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.

Wiki User

6y ago

Given a set of integers, the greatest common factor is the largest positive integer which divides each element of the set evenly.

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Related questions

### What does GCF mean in Algebra?

In math, GCF stands for greatest common factor.

### What are the common factors and greatest common factor of 19 and 23?

The numbers are primes so their only common factor is 1, and that means the greatest common factor is 1.

### What is the common factor 2 and 27?

No common factors - that means that the greatest common factor is 1.

### What is the greatest common factor of 5450?

Need more than one number to have a COMMON factor. Common means both numbers have it as a factor.

### What number has a greatest common factor of 26?

A single number doesn't have a 'greatest common factor'.A single number doesn't have any 'common' factors."Common" means "the same for both of them".A "common factor" means it's a factor of two different numbers.

### 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 of 5 and 23?

Because both numbers are prime numbers, the only common factor they have is 1. Therefore, the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 5 are 1 and 5. The factors of 23 are 1 and 23. The only common factor is 1. Therefore, the greatest common factor is 1, which means the numbers are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factor of 5 is 5. The prime factor of 23 is 23. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1.

### What is the greatest common factor of 14 16 and 30?

Greatest common factor of 14,16,30 is 2. It means 2 is largest divisor of 14,16,30.

### What is the greatest common factor of 27 and 30?

The greatest common factor of 27 and 30 is 3

### What is the greatest common factor of 10 and 70?

The greatest common factor of 10 and 70 is 10.

### What is the greatest common factor of 6 and 21?

The greatest common factor of 6 and 21 is 3.