What is the Greatest Common Factor of 92040 and 92056?

Greatest common factor (GCF) of 92040 and 92056 is 8.

GCF(92040,92056) = 8

We will now calculate the prime factors of 92040 and 92056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92040 and 92056.

How to find the GCF of 92040 and 92056?

We will first find the prime factorization of 92040 and 92056. After we will calculate the factors of 92040 and 92056 and find the biggest common factor number .

Step-1: Prime Factorization of 92040

Prime factors of 92040 are 2, 3, 5, 13, 59. Prime factorization of 92040 in exponential form is:

92040 = 2³ × 3¹ × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 92056

Prime factors of 92056 are 2, 37, 311. Prime factorization of 92056 in exponential form is:

92056 = 2³ × 37¹ × 311¹

Step-3: Factors of 92040

List of positive integer factors of 92040 that divides 92040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 59, 60, 65, 78, 104, 118, 120, 130, 156, 177, 195, 236, 260, 295, 312, 354, 390, 472, 520, 590, 708, 767, 780, 885, 1180, 1416, 1534, 1560, 1770, 2301, 2360, 3068, 3540, 3835, 4602, 6136, 7080, 7670, 9204, 11505, 15340, 18408, 23010, 30680, 46020

Step-4: Factors of 92056

List of positive integer factors of 92056 that divides 92040 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 311, 622, 1244, 2488, 11507, 23014, 46028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92040 and 92056. The biggest common factor number is the GCF number.
So the greatest common factor 92040 and 92056 is 8.

Also check out the Least Common Multiple of 92040 and 92056