What is the Greatest Common Factor of 27671 and 27685?

Greatest common factor (GCF) of 27671 and 27685 is 7.

GCF(27671,27685) = 7

We will now calculate the prime factors of 27671 and 27685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27671 and 27685.

How to find the GCF of 27671 and 27685?

We will first find the prime factorization of 27671 and 27685. After we will calculate the factors of 27671 and 27685 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27685

Prime factors of 27685 are 5, 7, 113. Prime factorization of 27685 in exponential form is:

27685 = 5¹ × 7² × 113¹

Step-3: Factors of 27671

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

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

Step-4: Factors of 27685

List of positive integer factors of 27685 that divides 27671 without a remainder.

1, 5, 7, 35, 49, 113, 245, 565, 791, 3955, 5537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27671 and 27685. The biggest common factor number is the GCF number.
So the greatest common factor 27671 and 27685 is 7.

Also check out the Least Common Multiple of 27671 and 27685