What is the Greatest Common Factor of 92475 and 92486?

Greatest common factor (GCF) of 92475 and 92486 is 1.

GCF(92475,92486) = 1

We will now calculate the prime factors of 92475 and 92486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92475 and 92486.

How to find the GCF of 92475 and 92486?

We will first find the prime factorization of 92475 and 92486. After we will calculate the factors of 92475 and 92486 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 92486

Prime factors of 92486 are 2, 131, 353. Prime factorization of 92486 in exponential form is:

92486 = 2¹ × 131¹ × 353¹

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 92486

List of positive integer factors of 92486 that divides 92475 without a remainder.

1, 2, 131, 262, 353, 706, 46243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92475 and 92486. The biggest common factor number is the GCF number.
So the greatest common factor 92475 and 92486 is 1.

Also check out the Least Common Multiple of 92475 and 92486