What is the Greatest Common Factor of 52654 and 52668?

Greatest common factor (GCF) of 52654 and 52668 is 14.

GCF(52654,52668) = 14

We will now calculate the prime factors of 52654 and 52668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52654 and 52668.

How to find the GCF of 52654 and 52668?

We will first find the prime factorization of 52654 and 52668. After we will calculate the factors of 52654 and 52668 and find the biggest common factor number .

Step-1: Prime Factorization of 52654

Prime factors of 52654 are 2, 7, 3761. Prime factorization of 52654 in exponential form is:

52654 = 2¹ × 7¹ × 3761¹

Step-2: 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-3: Factors of 52654

List of positive integer factors of 52654 that divides 52654 without a remainder.

1, 2, 7, 14, 3761, 7522, 26327

Step-4: Factors of 52668

List of positive integer factors of 52668 that divides 52654 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52654 and 52668. The biggest common factor number is the GCF number.
So the greatest common factor 52654 and 52668 is 14.

Also check out the Least Common Multiple of 52654 and 52668