What is the Greatest Common Factor of 92472 and 92492?

Greatest common factor (GCF) of 92472 and 92492 is 4.

GCF(92472,92492) = 4

We will now calculate the prime factors of 92472 and 92492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92472 and 92492.

How to find the GCF of 92472 and 92492?

We will first find the prime factorization of 92472 and 92492. After we will calculate the factors of 92472 and 92492 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 92492

Prime factors of 92492 are 2, 19, 1217. Prime factorization of 92492 in exponential form is:

92492 = 2² × 19¹ × 1217¹

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 92492

List of positive integer factors of 92492 that divides 92472 without a remainder.

1, 2, 4, 19, 38, 76, 1217, 2434, 4868, 23123, 46246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92472 and 92492. The biggest common factor number is the GCF number.
So the greatest common factor 92472 and 92492 is 4.

Also check out the Least Common Multiple of 92472 and 92492