What is the Greatest Common Factor of 12554 and 12568?

Greatest common factor (GCF) of 12554 and 12568 is 2.

GCF(12554,12568) = 2

We will now calculate the prime factors of 12554 and 12568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12554 and 12568.

How to find the GCF of 12554 and 12568?

We will first find the prime factorization of 12554 and 12568. After we will calculate the factors of 12554 and 12568 and find the biggest common factor number .

Step-1: Prime Factorization of 12554

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

12554 = 2¹ × 6277¹

Step-2: Prime Factorization of 12568

Prime factors of 12568 are 2, 1571. Prime factorization of 12568 in exponential form is:

12568 = 2³ × 1571¹

Step-3: Factors of 12554

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

1, 2, 6277

Step-4: Factors of 12568

List of positive integer factors of 12568 that divides 12554 without a remainder.

1, 2, 4, 8, 1571, 3142, 6284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12554 and 12568. The biggest common factor number is the GCF number.
So the greatest common factor 12554 and 12568 is 2.

Also check out the Least Common Multiple of 12554 and 12568