GCF for 84 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 84 and 100?

Answer: GCF of 84 and 100 is 4

(Four)

Finding GCF for 84 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

So the Greatest Common Factor for 84 and 100 is 4

Finding GCF for 84 and 100 by Prime Factorization

The second method to find GCF for numbers 84 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 7

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 84 and 100? (The answer is: 4). Select the first number (e.g. '84') 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
691001
7010010
711001
721004
731001
741002
7510025
761004
771001
781002
791001
8010020
811001
821002
831001
841004
851005
861002
871001
881004
891001
9010010
911001
921004
931001
941002
951005
961004
971001
981002

FAQ

What is the Greatest common Divisor of 84 and 100?

GCF of 84 and 100 is 4

See Also