What is the Greatest Common Factor of 86769 and 86775?

Greatest common factor (GCF) of 86769 and 86775 is 3.

GCF(86769,86775) = 3

We will now calculate the prime factors of 86769 and 86775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86769 and 86775.

How to find the GCF of 86769 and 86775?

We will first find the prime factorization of 86769 and 86775. After we will calculate the factors of 86769 and 86775 and find the biggest common factor number .

Step-1: Prime Factorization of 86769

Prime factors of 86769 are 3, 31, 311. Prime factorization of 86769 in exponential form is:

86769 = 3² × 31¹ × 311¹

Step-2: Prime Factorization of 86775

Prime factors of 86775 are 3, 5, 13, 89. Prime factorization of 86775 in exponential form is:

86775 = 3¹ × 5² × 13¹ × 89¹

Step-3: Factors of 86769

List of positive integer factors of 86769 that divides 86769 without a remainder.

1, 3, 9, 31, 93, 279, 311, 933, 2799, 9641, 28923

Step-4: Factors of 86775

List of positive integer factors of 86775 that divides 86769 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 89, 195, 267, 325, 445, 975, 1157, 1335, 2225, 3471, 5785, 6675, 17355, 28925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86769 and 86775. The biggest common factor number is the GCF number.
So the greatest common factor 86769 and 86775 is 3.

Also check out the Least Common Multiple of 86769 and 86775