What is the Greatest Common Factor of 27247 and 27258?

Greatest common factor (GCF) of 27247 and 27258 is 11.

GCF(27247,27258) = 11

We will now calculate the prime factors of 27247 and 27258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27247 and 27258.

How to find the GCF of 27247 and 27258?

We will first find the prime factorization of 27247 and 27258. After we will calculate the factors of 27247 and 27258 and find the biggest common factor number .

Step-1: Prime Factorization of 27247

Prime factors of 27247 are 11, 2477. Prime factorization of 27247 in exponential form is:

27247 = 11¹ × 2477¹

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 27247

List of positive integer factors of 27247 that divides 27247 without a remainder.

1, 11, 2477

Step-4: Factors of 27258

List of positive integer factors of 27258 that divides 27247 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 27247 and 27258. The biggest common factor number is the GCF number.
So the greatest common factor 27247 and 27258 is 11.

Also check out the Least Common Multiple of 27247 and 27258