GCF for 72 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 72 and 100?

Answer: GCF of 72 and 100 is 4

(Four)

Finding GCF for 72 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 72 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 72 and 100 is 4

Finding GCF for 72 and 100 by Prime Factorization

The second method to find GCF for numbers 72 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 72: 2, 2, 2, 3, 3

All Prime Factors of 100: 2, 2, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2

Now we need to multiply them to find GCF: 2 × 2 = 4

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 72 and 100? (The answer is: 4). Select the first number (e.g. '72') and the second number (e.g. '100'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
571001
581002
591001
6010020
611001
621002
631001
641004
651005
661002
671001
681004
691001
7010010
711001
721004
731001
741002
7510025
761004
771001
781002
791001
8010020
811001
821002
831001
841004
851005
861002

FAQ

What is the Greatest common Divisor of 72 and 100?

GCF of 72 and 100 is 4

See Also