What is the Greatest Common Factor of 52668 and 52682?

Greatest common factor (GCF) of 52668 and 52682 is 14.

GCF(52668,52682) = 14

We will now calculate the prime factors of 52668 and 52682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52668 and 52682.

How to find the GCF of 52668 and 52682?

We will first find the prime factorization of 52668 and 52682. After we will calculate the factors of 52668 and 52682 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 52682

Prime factors of 52682 are 2, 7, 53, 71. Prime factorization of 52682 in exponential form is:

52682 = 2¹ × 7¹ × 53¹ × 71¹

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 52682

List of positive integer factors of 52682 that divides 52668 without a remainder.

1, 2, 7, 14, 53, 71, 106, 142, 371, 497, 742, 994, 3763, 7526, 26341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52668 and 52682. The biggest common factor number is the GCF number.
So the greatest common factor 52668 and 52682 is 14.

Also check out the Least Common Multiple of 52668 and 52682