What is the Greatest Common Factor of 12624 and 12633?

Greatest common factor (GCF) of 12624 and 12633 is 3.

GCF(12624,12633) = 3

We will now calculate the prime factors of 12624 and 12633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12624 and 12633.

How to find the GCF of 12624 and 12633?

We will first find the prime factorization of 12624 and 12633. After we will calculate the factors of 12624 and 12633 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 12633

Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:

12633 = 3¹ × 4211¹

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 12633

List of positive integer factors of 12633 that divides 12624 without a remainder.

1, 3, 4211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12624 and 12633. The biggest common factor number is the GCF number.
So the greatest common factor 12624 and 12633 is 3.

Also check out the Least Common Multiple of 12624 and 12633