What is the Greatest Common Factor of 252 and 268?

Greatest common factor (GCF) of 252 and 268 is 4.

GCF(252,268) = 4

We will now calculate the prime factors of 252 and 268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 252 and 268.

How to find the GCF of 252 and 268?

We will first find the prime factorization of 252 and 268. After we will calculate the factors of 252 and 268 and find the biggest common factor number .

Step-1: Prime Factorization of 252

Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:

252 = 2² × 3² × 7¹

Step-2: Prime Factorization of 268

Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:

268 = 2² × 67¹

Step-3: Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126

Step-4: Factors of 268

List of positive integer factors of 268 that divides 252 without a remainder.

1, 2, 4, 67, 134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 252 and 268. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 268 is 4.

Also check out the Least Common Multiple of 252 and 268