What is the Greatest Common Factor of 92478 and 92496?

Greatest common factor (GCF) of 92478 and 92496 is 6.

GCF(92478,92496) = 6

We will now calculate the prime factors of 92478 and 92496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92478 and 92496.

How to find the GCF of 92478 and 92496?

We will first find the prime factorization of 92478 and 92496. After we will calculate the factors of 92478 and 92496 and find the biggest common factor number .

Step-1: Prime Factorization of 92478

Prime factors of 92478 are 2, 3, 15413. Prime factorization of 92478 in exponential form is:

92478 = 2¹ × 3¹ × 15413¹

Step-2: 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-3: Factors of 92478

List of positive integer factors of 92478 that divides 92478 without a remainder.

1, 2, 3, 6, 15413, 30826, 46239

Step-4: Factors of 92496

List of positive integer factors of 92496 that divides 92478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92478 and 92496. The biggest common factor number is the GCF number.
So the greatest common factor 92478 and 92496 is 6.

Also check out the Least Common Multiple of 92478 and 92496