What is the Greatest Common Factor of 92496 and 92508?

Greatest common factor (GCF) of 92496 and 92508 is 12.

GCF(92496,92508) = 12

We will now calculate the prime factors of 92496 and 92508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92496 and 92508.

How to find the GCF of 92496 and 92508?

We will first find the prime factorization of 92496 and 92508. After we will calculate the factors of 92496 and 92508 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 92508

Prime factors of 92508 are 2, 3, 13, 593. Prime factorization of 92508 in exponential form is:

92508 = 2² × 3¹ × 13¹ × 593¹

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 92508

List of positive integer factors of 92508 that divides 92496 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 593, 1186, 1779, 2372, 3558, 7116, 7709, 15418, 23127, 30836, 46254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92496 and 92508. The biggest common factor number is the GCF number.
So the greatest common factor 92496 and 92508 is 12.

Also check out the Least Common Multiple of 92496 and 92508