What is the Greatest Common Factor of 92475 and 92494?

Greatest common factor (GCF) of 92475 and 92494 is 1.

GCF(92475,92494) = 1

We will now calculate the prime factors of 92475 and 92494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92475 and 92494.

How to find the GCF of 92475 and 92494?

We will first find the prime factorization of 92475 and 92494. After we will calculate the factors of 92475 and 92494 and find the biggest common factor number .

Step-1: Prime Factorization of 92475

Prime factors of 92475 are 3, 5, 137. Prime factorization of 92475 in exponential form is:

92475 = 3³ × 5² × 137¹

Step-2: Prime Factorization of 92494

Prime factors of 92494 are 2, 103, 449. Prime factorization of 92494 in exponential form is:

92494 = 2¹ × 103¹ × 449¹

Step-3: Factors of 92475

List of positive integer factors of 92475 that divides 92475 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 137, 225, 411, 675, 685, 1233, 2055, 3425, 3699, 6165, 10275, 18495, 30825

Step-4: Factors of 92494

List of positive integer factors of 92494 that divides 92475 without a remainder.

1, 2, 103, 206, 449, 898, 46247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92475 and 92494. The biggest common factor number is the GCF number.
So the greatest common factor 92475 and 92494 is 1.

Also check out the Least Common Multiple of 92475 and 92494