What is the Greatest Common Factor of 52272 and 52282?

Greatest common factor (GCF) of 52272 and 52282 is 2.

GCF(52272,52282) = 2

We will now calculate the prime factors of 52272 and 52282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52272 and 52282.

How to find the GCF of 52272 and 52282?

We will first find the prime factorization of 52272 and 52282. After we will calculate the factors of 52272 and 52282 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 52282

Prime factors of 52282 are 2, 26141. Prime factorization of 52282 in exponential form is:

52282 = 2¹ × 26141¹

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 52282

List of positive integer factors of 52282 that divides 52272 without a remainder.

1, 2, 26141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52272 and 52282. The biggest common factor number is the GCF number.
So the greatest common factor 52272 and 52282 is 2.

Also check out the Least Common Multiple of 52272 and 52282