What is the Greatest Common Factor of 52272 and 52278?

Greatest common factor (GCF) of 52272 and 52278 is 6.

GCF(52272,52278) = 6

We will now calculate the prime factors of 52272 and 52278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52272 and 52278.

How to find the GCF of 52272 and 52278?

We will first find the prime factorization of 52272 and 52278. After we will calculate the factors of 52272 and 52278 and find the biggest common factor number .

Step-1: Prime Factorization of 52272

Prime factors of 52272 are 2, 3, 11. Prime factorization of 52272 in exponential form is:

52272 = 2⁴ × 3³ × 11²

Step-2: Prime Factorization of 52278

Prime factors of 52278 are 2, 3, 8713. Prime factorization of 52278 in exponential form is:

52278 = 2¹ × 3¹ × 8713¹

Step-3: Factors of 52272

List of positive integer factors of 52272 that divides 52272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 121, 132, 144, 176, 198, 216, 242, 264, 297, 363, 396, 432, 484, 528, 594, 726, 792, 968, 1089, 1188, 1452, 1584, 1936, 2178, 2376, 2904, 3267, 4356, 4752, 5808, 6534, 8712, 13068, 17424, 26136

Step-4: Factors of 52278

List of positive integer factors of 52278 that divides 52272 without a remainder.

1, 2, 3, 6, 8713, 17426, 26139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52272 and 52278. The biggest common factor number is the GCF number.
So the greatest common factor 52272 and 52278 is 6.

Also check out the Least Common Multiple of 52272 and 52278