What is the Greatest Common Factor of 27251 and 27258?

Greatest common factor (GCF) of 27251 and 27258 is 7.

GCF(27251,27258) = 7

We will now calculate the prime factors of 27251 and 27258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27251 and 27258.

How to find the GCF of 27251 and 27258?

We will first find the prime factorization of 27251 and 27258. After we will calculate the factors of 27251 and 27258 and find the biggest common factor number .

Step-1: Prime Factorization of 27251

Prime factors of 27251 are 7, 17, 229. Prime factorization of 27251 in exponential form is:

27251 = 7¹ × 17¹ × 229¹

Step-2: 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-3: Factors of 27251

List of positive integer factors of 27251 that divides 27251 without a remainder.

1, 7, 17, 119, 229, 1603, 3893

Step-4: Factors of 27258

List of positive integer factors of 27258 that divides 27251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27251 and 27258. The biggest common factor number is the GCF number.
So the greatest common factor 27251 and 27258 is 7.

Also check out the Least Common Multiple of 27251 and 27258