What is the Greatest Common Factor of 52668 and 52687?

Greatest common factor (GCF) of 52668 and 52687 is 19.

GCF(52668,52687) = 19

We will now calculate the prime factors of 52668 and 52687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52668 and 52687.

How to find the GCF of 52668 and 52687?

We will first find the prime factorization of 52668 and 52687. After we will calculate the factors of 52668 and 52687 and find the biggest common factor number .

Step-1: Prime Factorization of 52668

Prime factors of 52668 are 2, 3, 7, 11, 19. Prime factorization of 52668 in exponential form is:

52668 = 2² × 3² × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 52687

Prime factors of 52687 are 19, 47, 59. Prime factorization of 52687 in exponential form is:

52687 = 19¹ × 47¹ × 59¹

Step-3: Factors of 52668

List of positive integer factors of 52668 that divides 52668 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 19, 21, 22, 28, 33, 36, 38, 42, 44, 57, 63, 66, 76, 77, 84, 99, 114, 126, 132, 133, 154, 171, 198, 209, 228, 231, 252, 266, 308, 342, 396, 399, 418, 462, 532, 627, 684, 693, 798, 836, 924, 1197, 1254, 1386, 1463, 1596, 1881, 2394, 2508, 2772, 2926, 3762, 4389, 4788, 5852, 7524, 8778, 13167, 17556, 26334

Step-4: Factors of 52687

List of positive integer factors of 52687 that divides 52668 without a remainder.

1, 19, 47, 59, 893, 1121, 2773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52668 and 52687. The biggest common factor number is the GCF number.
So the greatest common factor 52668 and 52687 is 19.

Also check out the Least Common Multiple of 52668 and 52687