What is the Greatest Common Factor of 86955 and 86966?

Greatest common factor (GCF) of 86955 and 86966 is 11.

GCF(86955,86966) = 11

We will now calculate the prime factors of 86955 and 86966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86955 and 86966.

How to find the GCF of 86955 and 86966?

We will first find the prime factorization of 86955 and 86966. After we will calculate the factors of 86955 and 86966 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 86966

Prime factors of 86966 are 2, 11, 59, 67. Prime factorization of 86966 in exponential form is:

86966 = 2¹ × 11¹ × 59¹ × 67¹

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 86966

List of positive integer factors of 86966 that divides 86955 without a remainder.

1, 2, 11, 22, 59, 67, 118, 134, 649, 737, 1298, 1474, 3953, 7906, 43483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86955 and 86966. The biggest common factor number is the GCF number.
So the greatest common factor 86955 and 86966 is 11.

Also check out the Least Common Multiple of 86955 and 86966