What is the Greatest Common Factor of 92070 and 92090?

Greatest common factor (GCF) of 92070 and 92090 is 10.

GCF(92070,92090) = 10

We will now calculate the prime factors of 92070 and 92090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92070 and 92090.

How to find the GCF of 92070 and 92090?

We will first find the prime factorization of 92070 and 92090. After we will calculate the factors of 92070 and 92090 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 92090

Prime factors of 92090 are 2, 5, 9209. Prime factorization of 92090 in exponential form is:

92090 = 2¹ × 5¹ × 9209¹

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 92090

List of positive integer factors of 92090 that divides 92070 without a remainder.

1, 2, 5, 10, 9209, 18418, 46045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92070 and 92090. The biggest common factor number is the GCF number.
So the greatest common factor 92070 and 92090 is 10.

Also check out the Least Common Multiple of 92070 and 92090