What is the Greatest Common Factor of 92472 and 92478?

Greatest common factor (GCF) of 92472 and 92478 is 6.

GCF(92472,92478) = 6

We will now calculate the prime factors of 92472 and 92478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92472 and 92478.

How to find the GCF of 92472 and 92478?

We will first find the prime factorization of 92472 and 92478. After we will calculate the factors of 92472 and 92478 and find the biggest common factor number .

Step-1: Prime Factorization of 92472

Prime factors of 92472 are 2, 3, 3853. Prime factorization of 92472 in exponential form is:

92472 = 2³ × 3¹ × 3853¹

Step-2: 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-3: Factors of 92472

List of positive integer factors of 92472 that divides 92472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3853, 7706, 11559, 15412, 23118, 30824, 46236

Step-4: Factors of 92478

List of positive integer factors of 92478 that divides 92472 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92472 and 92478. The biggest common factor number is the GCF number.
So the greatest common factor 92472 and 92478 is 6.

Also check out the Least Common Multiple of 92472 and 92478