What is the Greatest Common Factor of 12252 and 12262?

Greatest common factor (GCF) of 12252 and 12262 is 2.

GCF(12252,12262) = 2

We will now calculate the prime factors of 12252 and 12262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12252 and 12262.

How to find the GCF of 12252 and 12262?

We will first find the prime factorization of 12252 and 12262. After we will calculate the factors of 12252 and 12262 and find the biggest common factor number .

Step-1: Prime Factorization of 12252

Prime factors of 12252 are 2, 3, 1021. Prime factorization of 12252 in exponential form is:

12252 = 2² × 3¹ × 1021¹

Step-2: Prime Factorization of 12262

Prime factors of 12262 are 2, 6131. Prime factorization of 12262 in exponential form is:

12262 = 2¹ × 6131¹

Step-3: Factors of 12252

List of positive integer factors of 12252 that divides 12252 without a remainder.

1, 2, 3, 4, 6, 12, 1021, 2042, 3063, 4084, 6126

Step-4: Factors of 12262

List of positive integer factors of 12262 that divides 12252 without a remainder.

1, 2, 6131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12252 and 12262. The biggest common factor number is the GCF number.
So the greatest common factor 12252 and 12262 is 2.

Also check out the Least Common Multiple of 12252 and 12262