What is the Greatest Common Factor of 12624 and 12638?

Greatest common factor (GCF) of 12624 and 12638 is 2.

GCF(12624,12638) = 2

We will now calculate the prime factors of 12624 and 12638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12624 and 12638.

How to find the GCF of 12624 and 12638?

We will first find the prime factorization of 12624 and 12638. After we will calculate the factors of 12624 and 12638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12638

Prime factors of 12638 are 2, 71, 89. Prime factorization of 12638 in exponential form is:

12638 = 2¹ × 71¹ × 89¹

Step-3: Factors of 12624

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

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

Step-4: Factors of 12638

List of positive integer factors of 12638 that divides 12624 without a remainder.

1, 2, 71, 89, 142, 178, 6319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12624 and 12638. The biggest common factor number is the GCF number.
So the greatest common factor 12624 and 12638 is 2.

Also check out the Least Common Multiple of 12624 and 12638