What is the Greatest Common Factor of 27657 and 27671?

Greatest common factor (GCF) of 27657 and 27671 is 7.

GCF(27657,27671) = 7

We will now calculate the prime factors of 27657 and 27671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27657 and 27671.

How to find the GCF of 27657 and 27671?

We will first find the prime factorization of 27657 and 27671. After we will calculate the factors of 27657 and 27671 and find the biggest common factor number .

Step-1: Prime Factorization of 27657

Prime factors of 27657 are 3, 7, 439. Prime factorization of 27657 in exponential form is:

27657 = 3² × 7¹ × 439¹

Step-2: Prime Factorization of 27671

Prime factors of 27671 are 7, 59, 67. Prime factorization of 27671 in exponential form is:

27671 = 7¹ × 59¹ × 67¹

Step-3: Factors of 27657

List of positive integer factors of 27657 that divides 27657 without a remainder.

1, 3, 7, 9, 21, 63, 439, 1317, 3073, 3951, 9219

Step-4: Factors of 27671

List of positive integer factors of 27671 that divides 27657 without a remainder.

1, 7, 59, 67, 413, 469, 3953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27657 and 27671. The biggest common factor number is the GCF number.
So the greatest common factor 27657 and 27671 is 7.

Also check out the Least Common Multiple of 27657 and 27671