What is the Greatest Common Factor of 12608 and 12624?

Greatest common factor (GCF) of 12608 and 12624 is 16.

GCF(12608,12624) = 16

We will now calculate the prime factors of 12608 and 12624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12608 and 12624.

How to find the GCF of 12608 and 12624?

We will first find the prime factorization of 12608 and 12624. After we will calculate the factors of 12608 and 12624 and find the biggest common factor number .

Step-1: Prime Factorization of 12608

Prime factors of 12608 are 2, 197. Prime factorization of 12608 in exponential form is:

12608 = 2⁶ × 197¹

Step-2: Prime Factorization of 12624

Prime factors of 12624 are 2, 3, 263. Prime factorization of 12624 in exponential form is:

12624 = 2⁴ × 3¹ × 263¹

Step-3: Factors of 12608

List of positive integer factors of 12608 that divides 12608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 197, 394, 788, 1576, 3152, 6304

Step-4: Factors of 12624

List of positive integer factors of 12624 that divides 12608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 263, 526, 789, 1052, 1578, 2104, 3156, 4208, 6312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12608 and 12624. The biggest common factor number is the GCF number.
So the greatest common factor 12608 and 12624 is 16.

Also check out the Least Common Multiple of 12608 and 12624