What is the Greatest Common Factor of 52648 and 52668?

Greatest common factor (GCF) of 52648 and 52668 is 4.

GCF(52648,52668) = 4

We will now calculate the prime factors of 52648 and 52668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52648 and 52668.

How to find the GCF of 52648 and 52668?

We will first find the prime factorization of 52648 and 52668. After we will calculate the factors of 52648 and 52668 and find the biggest common factor number .

Step-1: Prime Factorization of 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 2³ × 6581¹

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 52648

List of positive integer factors of 52648 that divides 52648 without a remainder.

1, 2, 4, 8, 6581, 13162, 26324

Step-4: Factors of 52668

List of positive integer factors of 52668 that divides 52648 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 52648 and 52668. The biggest common factor number is the GCF number.
So the greatest common factor 52648 and 52668 is 4.

Also check out the Least Common Multiple of 52648 and 52668