What is the Greatest Common Factor of 92745 and 92749?

Greatest common factor (GCF) of 92745 and 92749 is 1.

GCF(92745,92749) = 1

We will now calculate the prime factors of 92745 and 92749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92745 and 92749.

How to find the GCF of 92745 and 92749?

We will first find the prime factorization of 92745 and 92749. After we will calculate the factors of 92745 and 92749 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 92749

Prime factors of 92749 are 137, 677. Prime factorization of 92749 in exponential form is:

92749 = 137¹ × 677¹

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 92749

List of positive integer factors of 92749 that divides 92745 without a remainder.

1, 137, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92745 and 92749. The biggest common factor number is the GCF number.
So the greatest common factor 92745 and 92749 is 1.

Also check out the Least Common Multiple of 92745 and 92749