What is the Greatest Common Factor of 52260 and 52272?

Greatest common factor (GCF) of 52260 and 52272 is 12.

GCF(52260,52272) = 12

We will now calculate the prime factors of 52260 and 52272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52260 and 52272.

How to find the GCF of 52260 and 52272?

We will first find the prime factorization of 52260 and 52272. After we will calculate the factors of 52260 and 52272 and find the biggest common factor number .

Step-1: Prime Factorization of 52260

Prime factors of 52260 are 2, 3, 5, 13, 67. Prime factorization of 52260 in exponential form is:

52260 = 2² × 3¹ × 5¹ × 13¹ × 67¹

Step-2: 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-3: Factors of 52260

List of positive integer factors of 52260 that divides 52260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 67, 78, 130, 134, 156, 195, 201, 260, 268, 335, 390, 402, 670, 780, 804, 871, 1005, 1340, 1742, 2010, 2613, 3484, 4020, 4355, 5226, 8710, 10452, 13065, 17420, 26130

Step-4: Factors of 52272

List of positive integer factors of 52272 that divides 52260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52260 and 52272. The biggest common factor number is the GCF number.
So the greatest common factor 52260 and 52272 is 12.

Also check out the Least Common Multiple of 52260 and 52272