What is the Greatest Common Factor of 86977 and 86988?

Greatest common factor (GCF) of 86977 and 86988 is 11.

GCF(86977,86988) = 11

We will now calculate the prime factors of 86977 and 86988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86977 and 86988.

How to find the GCF of 86977 and 86988?

We will first find the prime factorization of 86977 and 86988. After we will calculate the factors of 86977 and 86988 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 86988

Prime factors of 86988 are 2, 3, 11, 659. Prime factorization of 86988 in exponential form is:

86988 = 2² × 3¹ × 11¹ × 659¹

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 86988

List of positive integer factors of 86988 that divides 86977 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 659, 1318, 1977, 2636, 3954, 7249, 7908, 14498, 21747, 28996, 43494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86977 and 86988. The biggest common factor number is the GCF number.
So the greatest common factor 86977 and 86988 is 11.

Also check out the Least Common Multiple of 86977 and 86988