Greatest Common Factor Definition Math

Hope i didn t confuse you.

Greatest common factor definition math. The largest number that can be used to divide two other numbers. 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. When two numbers have a greatest common factor of only 1 they re called relatively prime. And two relatively prime numbers are numbers that only have 1 as their greatest common factor.

Definition of greatest common factor from the cambridge academic content dictionary cambridge university press. The greatest number that is a factor of two or more other numbers. The gcf of 12 and 16 is 4 because 1 2 and 4 are common factors of both 12 and 16 and 4 is the greatest of them. The greatest common factor last updated.

The greatest common factor is often abbreviated to gcf and is also known as. Exponents roots and factorization of whole numbers expand collapse global location 3 4. Fundamentals of mathematics burzynski and ellis 3. Contributed by denny burzynski wade ellis jr.

The largest integer that divides without remainder into a set of integers. Also called highest common factor. And that kind of makes sense because a prime number is something that only has 1 and itself as a factor. 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.

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