What is the Greatest Common Factor of 51597 and 51612?

Greatest common factor (GCF) of 51597 and 51612 is 3.

GCF(51597,51612) = 3

We will now calculate the prime factors of 51597 and 51612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51597 and 51612.

How to find the GCF of 51597 and 51612?

We will first find the prime factorization of 51597 and 51612. After we will calculate the factors of 51597 and 51612 and find the biggest common factor number .

Step-1: Prime Factorization of 51597

Prime factors of 51597 are 3, 7, 13. Prime factorization of 51597 in exponential form is:

51597 = 3⁴ × 7² × 13¹

Step-2: 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-3: Factors of 51597

List of positive integer factors of 51597 that divides 51597 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 49, 63, 81, 91, 117, 147, 189, 273, 351, 441, 567, 637, 819, 1053, 1323, 1911, 2457, 3969, 5733, 7371, 17199

Step-4: Factors of 51612

List of positive integer factors of 51612 that divides 51597 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51597 and 51612. The biggest common factor number is the GCF number.
So the greatest common factor 51597 and 51612 is 3.

Also check out the Least Common Multiple of 51597 and 51612