What is the Greatest Common Factor of 92463 and 92481?

Greatest common factor (GCF) of 92463 and 92481 is 3.

GCF(92463,92481) = 3

We will now calculate the prime factors of 92463 and 92481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92463 and 92481.

How to find the GCF of 92463 and 92481?

We will first find the prime factorization of 92463 and 92481. After we will calculate the factors of 92463 and 92481 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 92481

Prime factors of 92481 are 3, 29, 1063. Prime factorization of 92481 in exponential form is:

92481 = 3¹ × 29¹ × 1063¹

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 92481

List of positive integer factors of 92481 that divides 92463 without a remainder.

1, 3, 29, 87, 1063, 3189, 30827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92463 and 92481. The biggest common factor number is the GCF number.
So the greatest common factor 92463 and 92481 is 3.

Also check out the Least Common Multiple of 92463 and 92481