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The Greatest Common Factor (GCF) is the largest factor common to two or more numbers. For example, 17 is the GCF of 34, 51, and 102 because it is the largest number that is a factor common to all three numbers.

The GCF, or Greatest Common Factor, is the largest positive integer that can be evenly divided into all the numbers of a given set.

Q: What is the definition of GCF?

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A couple of problems. You need at least two numbers to find a GCF and the GCF is by definition positive.

By its very definition, a single number cannot have a greatest common factor. The word "common" is there to indicate common to more than one integer. Of the 11 pairs, triplets and quads that can be drawn from the four numbers, 6 have GCF = 3, 4 have GCF = 6, and 1 has GCF = 15.

By definition, every even number has 2 as a factor. That means that every set of even numbers will have at least 2 as a common factor. The GCF might be higher, but if it has 2 as a factor, it's even.

The GCF is 6.

The GCF is 9.

Related questions

A couple of problems. You need at least two numbers to find a GCF and the GCF is by definition positive.

lcm means least common multiple and gcf mean greatest common factor

The GCF of relatively prime numbers is always 1, by definition.

The definition of GCF or greatest common factor is the largest number that evenly fits into both of them. 5 is divisble by 5, and 10 is divisible by 5. 5 is your GCF.

A fraction is in its simplest form when the GCF of the numerator and the denominator is 1.

If the GCF of the numerator and denominator is 1, the fraction is in its simplest form.

The GCF of 24, 30 and 36 is the largest integer which can divide all three of these numbers without remainder. In other words it is the largest number that is a factor of each of the three numbers.

Find the factor pairs of each number. The greatest factor in common is the GCF. A hint, the definition of a prime number is a number with only two factors: 1 and itself.

30 and 49 are relatively prime because the GCF (greatest common factor) is 1. The definition of a relatively prime number is two nonzero numbers that have a GCF of 1.

I take it you are asking for an example, not a definition. Okay. Here are 2: 4 and 9.

By its very definition, a single number cannot have a greatest common factor. The word "common" is there to indicate common to more than one integer. Of the 11 pairs, triplets and quads that can be drawn from the four numbers, 6 have GCF = 3, 4 have GCF = 6, and 1 has GCF = 15.

The greatest common factor, or GCF, is the largest number that divides evenly with no remainder into a set of given numbers.