What is the Greatest Common Factor of 92655 and 92667?

Greatest common factor (GCF) of 92655 and 92667 is 3.

GCF(92655,92667) = 3

We will now calculate the prime factors of 92655 and 92667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92655 and 92667.

How to find the GCF of 92655 and 92667?

We will first find the prime factorization of 92655 and 92667. After we will calculate the factors of 92655 and 92667 and find the biggest common factor number .

Step-1: Prime Factorization of 92655

Prime factors of 92655 are 3, 5, 29, 71. Prime factorization of 92655 in exponential form is:

92655 = 3² × 5¹ × 29¹ × 71¹

Step-2: Prime Factorization of 92667

Prime factors of 92667 are 3, 17, 23, 79. Prime factorization of 92667 in exponential form is:

92667 = 3¹ × 17¹ × 23¹ × 79¹

Step-3: Factors of 92655

List of positive integer factors of 92655 that divides 92655 without a remainder.

1, 3, 5, 9, 15, 29, 45, 71, 87, 145, 213, 261, 355, 435, 639, 1065, 1305, 2059, 3195, 6177, 10295, 18531, 30885

Step-4: Factors of 92667

List of positive integer factors of 92667 that divides 92655 without a remainder.

1, 3, 17, 23, 51, 69, 79, 237, 391, 1173, 1343, 1817, 4029, 5451, 30889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92655 and 92667. The biggest common factor number is the GCF number.
So the greatest common factor 92655 and 92667 is 3.

Also check out the Least Common Multiple of 92655 and 92667