What is the Greatest Common Factor of 252 and 267?

Greatest common factor (GCF) of 252 and 267 is 3.

GCF(252,267) = 3

We will now calculate the prime factors of 252 and 267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 252 and 267.

How to find the GCF of 252 and 267?

We will first find the prime factorization of 252 and 267. After we will calculate the factors of 252 and 267 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 267

Prime factors of 267 are 3, 89. Prime factorization of 267 in exponential form is:

267 = 3¹ × 89¹

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 267

List of positive integer factors of 267 that divides 252 without a remainder.

1, 3, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 252 and 267. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 267 is 3.

Also check out the Least Common Multiple of 252 and 267