What is the Greatest Common Factor of 86955 and 86972?

Greatest common factor (GCF) of 86955 and 86972 is 17.

GCF(86955,86972) = 17

We will now calculate the prime factors of 86955 and 86972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86955 and 86972.

How to find the GCF of 86955 and 86972?

We will first find the prime factorization of 86955 and 86972. After we will calculate the factors of 86955 and 86972 and find the biggest common factor number .

Step-1: Prime Factorization of 86955

Prime factors of 86955 are 3, 5, 11, 17, 31. Prime factorization of 86955 in exponential form is:

86955 = 3¹ × 5¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 86972

Prime factors of 86972 are 2, 17, 1279. Prime factorization of 86972 in exponential form is:

86972 = 2² × 17¹ × 1279¹

Step-3: Factors of 86955

List of positive integer factors of 86955 that divides 86955 without a remainder.

1, 3, 5, 11, 15, 17, 31, 33, 51, 55, 85, 93, 155, 165, 187, 255, 341, 465, 527, 561, 935, 1023, 1581, 1705, 2635, 2805, 5115, 5797, 7905, 17391, 28985

Step-4: Factors of 86972

List of positive integer factors of 86972 that divides 86955 without a remainder.

1, 2, 4, 17, 34, 68, 1279, 2558, 5116, 21743, 43486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86955 and 86972. The biggest common factor number is the GCF number.
So the greatest common factor 86955 and 86972 is 17.

Also check out the Least Common Multiple of 86955 and 86972