Definition Of Greatest Common Factor In Math

The greatest common divisor of 6 and 12 equals 6.

Definition of greatest common factor in math.

ˌɡreɪt ɪst ˌkɑː mən ˈfæk tɚ abbreviation gcf. The smallest positive number that is a multiple of two or more numbers. In math the greatest common factor is the largest number that can divide evenly into two other numbers. 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. Related words and phrases addition subtraction multiplication division. 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. 2 and 3 are factors of 6 because 2 3 6 a number can have many factors.

It is simply the largest of the common factors. You can also call the greatest common factor the greatest common divisor. For example the greatest common factor of 12 and 30 is 6. Greatest common factor gcf.

The least common multiple of 3 and 5 is 15 because 15 is a multiple of 3 and also a multiple of 5 and it is the smallest number like that. So it actually equals one of the numbers. 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. Numbers we can multiply together to get another number.

And that makes a lot of sense because 6 actually is divisible into 12. 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. Learn about the greatest common factor definition and methods of finding greatest common factor greatest common divisor check out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions on greatest common factor at the end of the page. The mathematics community should settle on one of the two.