What is the Greatest Common Factor of 51624 and 51642?

Greatest common factor (GCF) of 51624 and 51642 is 18.

GCF(51624,51642) = 18

We will now calculate the prime factors of 51624 and 51642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51624 and 51642.

How to find the GCF of 51624 and 51642?

We will first find the prime factorization of 51624 and 51642. After we will calculate the factors of 51624 and 51642 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 51642

Prime factors of 51642 are 2, 3, 19, 151. Prime factorization of 51642 in exponential form is:

51642 = 2¹ × 3² × 19¹ × 151¹

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 51642

List of positive integer factors of 51642 that divides 51624 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 151, 171, 302, 342, 453, 906, 1359, 2718, 2869, 5738, 8607, 17214, 25821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51624 and 51642. The biggest common factor number is the GCF number.
So the greatest common factor 51624 and 51642 is 18.

Also check out the Least Common Multiple of 51624 and 51642