What is the Greatest Common Factor of 27258 and 27272?

Greatest common factor (GCF) of 27258 and 27272 is 14.

GCF(27258,27272) = 14

We will now calculate the prime factors of 27258 and 27272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27258 and 27272.

How to find the GCF of 27258 and 27272?

We will first find the prime factorization of 27258 and 27272. After we will calculate the factors of 27258 and 27272 and find the biggest common factor number .

Step-1: Prime Factorization of 27258

Prime factors of 27258 are 2, 3, 7, 11, 59. Prime factorization of 27258 in exponential form is:

27258 = 2¹ × 3¹ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 27272

Prime factors of 27272 are 2, 7, 487. Prime factorization of 27272 in exponential form is:

27272 = 2³ × 7¹ × 487¹

Step-3: Factors of 27258

List of positive integer factors of 27258 that divides 27258 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 59, 66, 77, 118, 154, 177, 231, 354, 413, 462, 649, 826, 1239, 1298, 1947, 2478, 3894, 4543, 9086, 13629

Step-4: Factors of 27272

List of positive integer factors of 27272 that divides 27258 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 487, 974, 1948, 3409, 3896, 6818, 13636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27258 and 27272. The biggest common factor number is the GCF number.
So the greatest common factor 27258 and 27272 is 14.

Also check out the Least Common Multiple of 27258 and 27272