What is the Greatest Common Factor of 92463 and 92472?

Greatest common factor (GCF) of 92463 and 92472 is 3.

GCF(92463,92472) = 3

We will now calculate the prime factors of 92463 and 92472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92463 and 92472.

How to find the GCF of 92463 and 92472?

We will first find the prime factorization of 92463 and 92472. After we will calculate the factors of 92463 and 92472 and find the biggest common factor number .

Step-1: Prime Factorization of 92463

Prime factors of 92463 are 3, 7, 17, 37. Prime factorization of 92463 in exponential form is:

92463 = 3¹ × 7² × 17¹ × 37¹

Step-2: 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-3: Factors of 92463

List of positive integer factors of 92463 that divides 92463 without a remainder.

1, 3, 7, 17, 21, 37, 49, 51, 111, 119, 147, 259, 357, 629, 777, 833, 1813, 1887, 2499, 4403, 5439, 13209, 30821

Step-4: Factors of 92472

List of positive integer factors of 92472 that divides 92463 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92463 and 92472. The biggest common factor number is the GCF number.
So the greatest common factor 92463 and 92472 is 3.

Also check out the Least Common Multiple of 92463 and 92472