What is the Greatest Common Factor of 51624 and 51638?

Greatest common factor (GCF) of 51624 and 51638 is 2.

GCF(51624,51638) = 2

We will now calculate the prime factors of 51624 and 51638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51624 and 51638.

How to find the GCF of 51624 and 51638?

We will first find the prime factorization of 51624 and 51638. After we will calculate the factors of 51624 and 51638 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 51638

Prime factors of 51638 are 2, 25819. Prime factorization of 51638 in exponential form is:

51638 = 2¹ × 25819¹

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 51638

List of positive integer factors of 51638 that divides 51624 without a remainder.

1, 2, 25819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51624 and 51638. The biggest common factor number is the GCF number.
So the greatest common factor 51624 and 51638 is 2.

Also check out the Least Common Multiple of 51624 and 51638