What is the Greatest Common Factor of 86988 and 86999?

Greatest common factor (GCF) of 86988 and 86999 is 11.

GCF(86988,86999) = 11

We will now calculate the prime factors of 86988 and 86999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86988 and 86999.

How to find the GCF of 86988 and 86999?

We will first find the prime factorization of 86988 and 86999. After we will calculate the factors of 86988 and 86999 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86999

Prime factors of 86999 are 11, 719. Prime factorization of 86999 in exponential form is:

86999 = 11² × 719¹

Step-3: Factors of 86988

List of positive integer factors of 86988 that divides 86988 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

Step-4: Factors of 86999

List of positive integer factors of 86999 that divides 86988 without a remainder.

1, 11, 121, 719, 7909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86988 and 86999. The biggest common factor number is the GCF number.
So the greatest common factor 86988 and 86999 is 11.

Also check out the Least Common Multiple of 86988 and 86999