What is the Greatest Common Factor of 92070 and 92080?

Greatest common factor (GCF) of 92070 and 92080 is 10.

GCF(92070,92080) = 10

We will now calculate the prime factors of 92070 and 92080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92070 and 92080.

How to find the GCF of 92070 and 92080?

We will first find the prime factorization of 92070 and 92080. After we will calculate the factors of 92070 and 92080 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 92080

Prime factors of 92080 are 2, 5, 1151. Prime factorization of 92080 in exponential form is:

92080 = 2⁴ × 5¹ × 1151¹

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 92080

List of positive integer factors of 92080 that divides 92070 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1151, 2302, 4604, 5755, 9208, 11510, 18416, 23020, 46040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92070 and 92080. The biggest common factor number is the GCF number.
So the greatest common factor 92070 and 92080 is 10.

Also check out the Least Common Multiple of 92070 and 92080