What is the Greatest Common Factor of 92070 and 92088?

Greatest common factor (GCF) of 92070 and 92088 is 18.

GCF(92070,92088) = 18

We will now calculate the prime factors of 92070 and 92088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92070 and 92088.

How to find the GCF of 92070 and 92088?

We will first find the prime factorization of 92070 and 92088. After we will calculate the factors of 92070 and 92088 and find the biggest common factor number .

Step-1: Prime Factorization of 92070

Prime factors of 92070 are 2, 3, 5, 11, 31. Prime factorization of 92070 in exponential form is:

92070 = 2¹ × 3³ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 92088

Prime factors of 92088 are 2, 3, 1279. Prime factorization of 92088 in exponential form is:

92088 = 2³ × 3² × 1279¹

Step-3: Factors of 92070

List of positive integer factors of 92070 that divides 92070 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 31, 33, 45, 54, 55, 62, 66, 90, 93, 99, 110, 135, 155, 165, 186, 198, 270, 279, 297, 310, 330, 341, 465, 495, 558, 594, 682, 837, 930, 990, 1023, 1395, 1485, 1674, 1705, 2046, 2790, 2970, 3069, 3410, 4185, 5115, 6138, 8370, 9207, 10230, 15345, 18414, 30690, 46035

Step-4: Factors of 92088

List of positive integer factors of 92088 that divides 92070 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1279, 2558, 3837, 5116, 7674, 10232, 11511, 15348, 23022, 30696, 46044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92070 and 92088. The biggest common factor number is the GCF number.
So the greatest common factor 92070 and 92088 is 18.

Also check out the Least Common Multiple of 92070 and 92088