What is the Greatest Common Factor of 12538 and 12546?

Greatest common factor (GCF) of 12538 and 12546 is 2.

GCF(12538,12546) = 2

We will now calculate the prime factors of 12538 and 12546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12538 and 12546.

How to find the GCF of 12538 and 12546?

We will first find the prime factorization of 12538 and 12546. After we will calculate the factors of 12538 and 12546 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 12546

Prime factors of 12546 are 2, 3, 17, 41. Prime factorization of 12546 in exponential form is:

12546 = 2¹ × 3² × 17¹ × 41¹

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 12546

List of positive integer factors of 12546 that divides 12538 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 41, 51, 82, 102, 123, 153, 246, 306, 369, 697, 738, 1394, 2091, 4182, 6273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12538 and 12546. The biggest common factor number is the GCF number.
So the greatest common factor 12538 and 12546 is 2.

Also check out the Least Common Multiple of 12538 and 12546