Definition Of Greatest Common Factor In Math

In mathematics the greatest common divisor gcd sometimes known as the gcf or highest common factor hcf of two non zero integers is the largest positive integer that divides both numbers without remainder.

Definition of greatest common factor in math.

ˌɡreɪt ɪst ˌkɑː mən ˈfæk tɚ abbreviation gcf. In math the greatest common factor is the largest number that can divide evenly into two other numbers. For example the greatest common factor of 12 and 30 is 6. In our previous example the largest of the common factors is 15 so the greatest common factor of 15 30 and 105 is 15 the greatest common factor is the largest of the common factors of two or more numbers why is this useful.

3 4 12 so 3 and 4 are factors of 12 2 6 12 so 2 and 6 are also factors of 12. Related words and phrases addition subtraction multiplication division. What are the factors of 12. The largest integer that divides without remainder into a set of integers.

When we find all the factors of two or more numbers and some factors are the same common then the largest of those common factors is the greatest common factor. It is simply the largest of the common factors. Uk highest common factor the largest number that can be used to divide two other numbers smart vocabulary. The greatest number that is a factor of two or more other numbers.

The smallest positive number that is a multiple of two or more numbers. And that makes a lot of sense because 6 actually is divisible into 12. Numbers we can multiply together to get another number. The greatest common divisor of 6 and 12 equals 6.

The mathematics community should settle on one of the two. 2 and 3 are factors of 6 because 2 3 6 a number can have many factors. You can also call the greatest common factor the greatest common divisor. Greatest common factor gcf.