GCF for 64 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 64 and 100?

Answer: GCF of 64 and 100 is 4

(Four)

Finding GCF for 64 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 64: 1, 2, 4, 8, 16, 32, 64

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

So the Greatest Common Factor for 64 and 100 is 4

Finding GCF for 64 and 100 by Prime Factorization

The second method to find GCF for numbers 64 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

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

Related Calculations

See Also

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 64 and 100? (The answer is: 4). Select the first number (e.g. '64') 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
491001
5010050
511001
521004
531001
541002
551005
561004
571001
581002
591001
6010020
611001
621002
631001
641004
651005
661002
671001
681004
691001
7010010
711001
721004
731001
741002
7510025
761004
771001
781002

FAQ

What is the Greatest common Divisor of 64 and 100?

GCF of 64 and 100 is 4

See Also