What is the Greatest Common Factor of 12538 and 12554?

Greatest common factor (GCF) of 12538 and 12554 is 2.

GCF(12538,12554) = 2

We will now calculate the prime factors of 12538 and 12554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12538 and 12554.

How to find the GCF of 12538 and 12554?

We will first find the prime factorization of 12538 and 12554. After we will calculate the factors of 12538 and 12554 and find the biggest common factor number .

Step-1: Prime Factorization of 12538

Prime factors of 12538 are 2, 6269. Prime factorization of 12538 in exponential form is:

12538 = 2¹ × 6269¹

Step-2: Prime Factorization of 12554

Prime factors of 12554 are 2, 6277. Prime factorization of 12554 in exponential form is:

12554 = 2¹ × 6277¹

Step-3: Factors of 12538

List of positive integer factors of 12538 that divides 12538 without a remainder.

1, 2, 6269

Step-4: Factors of 12554

List of positive integer factors of 12554 that divides 12538 without a remainder.

1, 2, 6277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12538 and 12554. The biggest common factor number is the GCF number.
So the greatest common factor 12538 and 12554 is 2.

Also check out the Least Common Multiple of 12538 and 12554