What is the Greatest Common Factor of 92070 and 92085?

Greatest common factor (GCF) of 92070 and 92085 is 15.

GCF(92070,92085) = 15

We will now calculate the prime factors of 92070 and 92085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92070 and 92085.

How to find the GCF of 92070 and 92085?

We will first find the prime factorization of 92070 and 92085. After we will calculate the factors of 92070 and 92085 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 92085

Prime factors of 92085 are 3, 5, 7, 877. Prime factorization of 92085 in exponential form is:

92085 = 3¹ × 5¹ × 7¹ × 877¹

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 92085

List of positive integer factors of 92085 that divides 92070 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 877, 2631, 4385, 6139, 13155, 18417, 30695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92070 and 92085. The biggest common factor number is the GCF number.
So the greatest common factor 92070 and 92085 is 15.

Also check out the Least Common Multiple of 92070 and 92085