What is the Greatest Common Factor of 52258 and 52272?

Greatest common factor (GCF) of 52258 and 52272 is 2.

GCF(52258,52272) = 2

We will now calculate the prime factors of 52258 and 52272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52258 and 52272.

How to find the GCF of 52258 and 52272?

We will first find the prime factorization of 52258 and 52272. After we will calculate the factors of 52258 and 52272 and find the biggest common factor number .

Step-1: Prime Factorization of 52258

Prime factors of 52258 are 2, 17, 29, 53. Prime factorization of 52258 in exponential form is:

52258 = 2¹ × 17¹ × 29¹ × 53¹

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 52258

List of positive integer factors of 52258 that divides 52258 without a remainder.

1, 2, 17, 29, 34, 53, 58, 106, 493, 901, 986, 1537, 1802, 3074, 26129

Step-4: Factors of 52272

List of positive integer factors of 52272 that divides 52258 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 52258 and 52272. The biggest common factor number is the GCF number.
So the greatest common factor 52258 and 52272 is 2.

Also check out the Least Common Multiple of 52258 and 52272