What is the Greatest Common Factor of 51612 and 51624?

Greatest common factor (GCF) of 51612 and 51624 is 12.

GCF(51612,51624) = 12

We will now calculate the prime factors of 51612 and 51624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51612 and 51624.

How to find the GCF of 51612 and 51624?

We will first find the prime factorization of 51612 and 51624. After we will calculate the factors of 51612 and 51624 and find the biggest common factor number .

Step-1: Prime Factorization of 51612

Prime factors of 51612 are 2, 3, 11, 17, 23. Prime factorization of 51612 in exponential form is:

51612 = 2² × 3¹ × 11¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 51612

List of positive integer factors of 51612 that divides 51612 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 23, 33, 34, 44, 46, 51, 66, 68, 69, 92, 102, 132, 138, 187, 204, 253, 276, 374, 391, 506, 561, 748, 759, 782, 1012, 1122, 1173, 1518, 1564, 2244, 2346, 3036, 4301, 4692, 8602, 12903, 17204, 25806

Step-4: Factors of 51624

List of positive integer factors of 51624 that divides 51612 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51612 and 51624. The biggest common factor number is the GCF number.
So the greatest common factor 51612 and 51624 is 12.

Also check out the Least Common Multiple of 51612 and 51624