What is the Greatest Common Factor of 92445 and 92463?

Greatest common factor (GCF) of 92445 and 92463 is 3.

GCF(92445,92463) = 3

We will now calculate the prime factors of 92445 and 92463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92445 and 92463.

How to find the GCF of 92445 and 92463?

We will first find the prime factorization of 92445 and 92463. After we will calculate the factors of 92445 and 92463 and find the biggest common factor number .

Step-1: Prime Factorization of 92445

Prime factors of 92445 are 3, 5, 6163. Prime factorization of 92445 in exponential form is:

92445 = 3¹ × 5¹ × 6163¹

Step-2: 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-3: Factors of 92445

List of positive integer factors of 92445 that divides 92445 without a remainder.

1, 3, 5, 15, 6163, 18489, 30815

Step-4: Factors of 92463

List of positive integer factors of 92463 that divides 92445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92445 and 92463. The biggest common factor number is the GCF number.
So the greatest common factor 92445 and 92463 is 3.

Also check out the Least Common Multiple of 92445 and 92463