What is the Greatest Common Factor of 92745 and 92760?

Greatest common factor (GCF) of 92745 and 92760 is 15.

GCF(92745,92760) = 15

We will now calculate the prime factors of 92745 and 92760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92745 and 92760.

How to find the GCF of 92745 and 92760?

We will first find the prime factorization of 92745 and 92760. After we will calculate the factors of 92745 and 92760 and find the biggest common factor number .

Step-1: Prime Factorization of 92745

Prime factors of 92745 are 3, 5, 229. Prime factorization of 92745 in exponential form is:

92745 = 3⁴ × 5¹ × 229¹

Step-2: Prime Factorization of 92760

Prime factors of 92760 are 2, 3, 5, 773. Prime factorization of 92760 in exponential form is:

92760 = 2³ × 3¹ × 5¹ × 773¹

Step-3: Factors of 92745

List of positive integer factors of 92745 that divides 92745 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 229, 405, 687, 1145, 2061, 3435, 6183, 10305, 18549, 30915

Step-4: Factors of 92760

List of positive integer factors of 92760 that divides 92745 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 773, 1546, 2319, 3092, 3865, 4638, 6184, 7730, 9276, 11595, 15460, 18552, 23190, 30920, 46380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92745 and 92760. The biggest common factor number is the GCF number.
So the greatest common factor 92745 and 92760 is 15.

Also check out the Least Common Multiple of 92745 and 92760