What is the Greatest Common Factor of 92469 and 92475?

Greatest common factor (GCF) of 92469 and 92475 is 3.

GCF(92469,92475) = 3

We will now calculate the prime factors of 92469 and 92475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92469 and 92475.

How to find the GCF of 92469 and 92475?

We will first find the prime factorization of 92469 and 92475. After we will calculate the factors of 92469 and 92475 and find the biggest common factor number .

Step-1: Prime Factorization of 92469

Prime factors of 92469 are 3, 13, 2371. Prime factorization of 92469 in exponential form is:

92469 = 3¹ × 13¹ × 2371¹

Step-2: 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-3: Factors of 92469

List of positive integer factors of 92469 that divides 92469 without a remainder.

1, 3, 13, 39, 2371, 7113, 30823

Step-4: Factors of 92475

List of positive integer factors of 92475 that divides 92469 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92469 and 92475. The biggest common factor number is the GCF number.
So the greatest common factor 92469 and 92475 is 3.

Also check out the Least Common Multiple of 92469 and 92475