GCF for 108 and 252

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 108 and 252?

Answer: GCF of 108 and 252 is 36

(Thirty-six)

Finding GCF for 108 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 252 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 108 and 252 is 36

Finding GCF for 108 and 252 by Prime Factorization

The second method to find GCF for numbers 108 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 252: 2, 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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 108 and 252? (The answer is: 36). Select the first number (e.g. '108') and the second number (e.g. '252'). 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
932523
942522
952521
9625212
972521
9825214
992529
1002524
1012521
1022526
1032521
1042524
10525221
1062522
1072521
10825236
1092521
1102522
1112523
11225228
1132521
1142526
1152521
1162524
1172529
1182522
1192527
12025212
1212521
1222522

FAQ

What is the Greatest common Divisor of 108 and 252?

GCF of 108 and 252 is 36

See Also