What is the Greatest Common Factor of 52272 and 52288?

Greatest common factor (GCF) of 52272 and 52288 is 16.

GCF(52272,52288) = 16

We will now calculate the prime factors of 52272 and 52288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52272 and 52288.

How to find the GCF of 52272 and 52288?

We will first find the prime factorization of 52272 and 52288. After we will calculate the factors of 52272 and 52288 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 52288

Prime factors of 52288 are 2, 19, 43. Prime factorization of 52288 in exponential form is:

52288 = 2⁶ × 19¹ × 43¹

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 52288

List of positive integer factors of 52288 that divides 52272 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 43, 64, 76, 86, 152, 172, 304, 344, 608, 688, 817, 1216, 1376, 1634, 2752, 3268, 6536, 13072, 26144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52272 and 52288. The biggest common factor number is the GCF number.
So the greatest common factor 52272 and 52288 is 16.

Also check out the Least Common Multiple of 52272 and 52288