What is the Greatest Common Factor of 92496 and 92502?

Greatest common factor (GCF) of 92496 and 92502 is 6.

GCF(92496,92502) = 6

We will now calculate the prime factors of 92496 and 92502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92496 and 92502.

How to find the GCF of 92496 and 92502?

We will first find the prime factorization of 92496 and 92502. After we will calculate the factors of 92496 and 92502 and find the biggest common factor number .

Step-1: Prime Factorization of 92496

Prime factors of 92496 are 2, 3, 41, 47. Prime factorization of 92496 in exponential form is:

92496 = 2⁴ × 3¹ × 41¹ × 47¹

Step-2: Prime Factorization of 92502

Prime factors of 92502 are 2, 3, 571. Prime factorization of 92502 in exponential form is:

92502 = 2¹ × 3⁴ × 571¹

Step-3: Factors of 92496

List of positive integer factors of 92496 that divides 92496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 41, 47, 48, 82, 94, 123, 141, 164, 188, 246, 282, 328, 376, 492, 564, 656, 752, 984, 1128, 1927, 1968, 2256, 3854, 5781, 7708, 11562, 15416, 23124, 30832, 46248

Step-4: Factors of 92502

List of positive integer factors of 92502 that divides 92496 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 571, 1142, 1713, 3426, 5139, 10278, 15417, 30834, 46251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92496 and 92502. The biggest common factor number is the GCF number.
So the greatest common factor 92496 and 92502 is 6.

Also check out the Least Common Multiple of 92496 and 92502