What is the Greatest Common Factor of 86674 and 86681?

Greatest common factor (GCF) of 86674 and 86681 is 7.

GCF(86674,86681) = 7

We will now calculate the prime factors of 86674 and 86681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86674 and 86681.

How to find the GCF of 86674 and 86681?

We will first find the prime factorization of 86674 and 86681. After we will calculate the factors of 86674 and 86681 and find the biggest common factor number .

Step-1: Prime Factorization of 86674

Prime factors of 86674 are 2, 7, 41, 151. Prime factorization of 86674 in exponential form is:

86674 = 2¹ × 7¹ × 41¹ × 151¹

Step-2: Prime Factorization of 86681

Prime factors of 86681 are 7, 29, 61. Prime factorization of 86681 in exponential form is:

86681 = 7² × 29¹ × 61¹

Step-3: Factors of 86674

List of positive integer factors of 86674 that divides 86674 without a remainder.

1, 2, 7, 14, 41, 82, 151, 287, 302, 574, 1057, 2114, 6191, 12382, 43337

Step-4: Factors of 86681

List of positive integer factors of 86681 that divides 86674 without a remainder.

1, 7, 29, 49, 61, 203, 427, 1421, 1769, 2989, 12383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86674 and 86681. The biggest common factor number is the GCF number.
So the greatest common factor 86674 and 86681 is 7.

Also check out the Least Common Multiple of 86674 and 86681