What is the Greatest Common Factor of 86977 and 86994?

Greatest common factor (GCF) of 86977 and 86994 is 1.

GCF(86977,86994) = 1

We will now calculate the prime factors of 86977 and 86994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86977 and 86994.

How to find the GCF of 86977 and 86994?

We will first find the prime factorization of 86977 and 86994. After we will calculate the factors of 86977 and 86994 and find the biggest common factor number .

Step-1: Prime Factorization of 86977

Prime factors of 86977 are 11, 7907. Prime factorization of 86977 in exponential form is:

86977 = 11¹ × 7907¹

Step-2: Prime Factorization of 86994

Prime factors of 86994 are 2, 3, 179. Prime factorization of 86994 in exponential form is:

86994 = 2¹ × 3⁵ × 179¹

Step-3: Factors of 86977

List of positive integer factors of 86977 that divides 86977 without a remainder.

1, 11, 7907

Step-4: Factors of 86994

List of positive integer factors of 86994 that divides 86977 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 179, 243, 358, 486, 537, 1074, 1611, 3222, 4833, 9666, 14499, 28998, 43497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86977 and 86994. The biggest common factor number is the GCF number.
So the greatest common factor 86977 and 86994 is 1.

Also check out the Least Common Multiple of 86977 and 86994