What is the Greatest Common Factor of 12538 and 12556?

Greatest common factor (GCF) of 12538 and 12556 is 2.

GCF(12538,12556) = 2

We will now calculate the prime factors of 12538 and 12556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12538 and 12556.

How to find the GCF of 12538 and 12556?

We will first find the prime factorization of 12538 and 12556. After we will calculate the factors of 12538 and 12556 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 12556

Prime factors of 12556 are 2, 43, 73. Prime factorization of 12556 in exponential form is:

12556 = 2² × 43¹ × 73¹

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 12556

List of positive integer factors of 12556 that divides 12538 without a remainder.

1, 2, 4, 43, 73, 86, 146, 172, 292, 3139, 6278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12538 and 12556. The biggest common factor number is the GCF number.
So the greatest common factor 12538 and 12556 is 2.

Also check out the Least Common Multiple of 12538 and 12556