What is the Greatest Common Factor of 12556 and 12574?

Greatest common factor (GCF) of 12556 and 12574 is 2.

GCF(12556,12574) = 2

We will now calculate the prime factors of 12556 and 12574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12556 and 12574.

How to find the GCF of 12556 and 12574?

We will first find the prime factorization of 12556 and 12574. After we will calculate the factors of 12556 and 12574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12574

Prime factors of 12574 are 2, 6287. Prime factorization of 12574 in exponential form is:

12574 = 2¹ × 6287¹

Step-3: Factors of 12556

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

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

Step-4: Factors of 12574

List of positive integer factors of 12574 that divides 12556 without a remainder.

1, 2, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12556 and 12574. The biggest common factor number is the GCF number.
So the greatest common factor 12556 and 12574 is 2.

Also check out the Least Common Multiple of 12556 and 12574