What is the Greatest Common Factor of 51624 and 51628?

Greatest common factor (GCF) of 51624 and 51628 is 4.

GCF(51624,51628) = 4

We will now calculate the prime factors of 51624 and 51628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51624 and 51628.

How to find the GCF of 51624 and 51628?

We will first find the prime factorization of 51624 and 51628. After we will calculate the factors of 51624 and 51628 and find the biggest common factor number .

Step-1: Prime Factorization of 51624

Prime factors of 51624 are 2, 3, 239. Prime factorization of 51624 in exponential form is:

51624 = 2³ × 3³ × 239¹

Step-2: Prime Factorization of 51628

Prime factors of 51628 are 2, 12907. Prime factorization of 51628 in exponential form is:

51628 = 2² × 12907¹

Step-3: Factors of 51624

List of positive integer factors of 51624 that divides 51624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 6453, 8604, 12906, 17208, 25812

Step-4: Factors of 51628

List of positive integer factors of 51628 that divides 51624 without a remainder.

1, 2, 4, 12907, 25814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51624 and 51628. The biggest common factor number is the GCF number.
So the greatest common factor 51624 and 51628 is 4.

Also check out the Least Common Multiple of 51624 and 51628