What is the Greatest Common Factor of 252 and 260?

Greatest common factor (GCF) of 252 and 260 is 4.

GCF(252,260) = 4

We will now calculate the prime factors of 252 and 260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 252 and 260.

How to find the GCF of 252 and 260?

We will first find the prime factorization of 252 and 260. After we will calculate the factors of 252 and 260 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 260

Prime factors of 260 are 2, 5, 13. Prime factorization of 260 in exponential form is:

260 = 2² × 5¹ × 13¹

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 260

List of positive integer factors of 260 that divides 252 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 252 and 260. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 260 is 4.

Also check out the Least Common Multiple of 252 and 260