What is the Greatest Common Factor of 92670 and 92675?

Greatest common factor (GCF) of 92670 and 92675 is 5.

GCF(92670,92675) = 5

We will now calculate the prime factors of 92670 and 92675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92670 and 92675.

How to find the GCF of 92670 and 92675?

We will first find the prime factorization of 92670 and 92675. After we will calculate the factors of 92670 and 92675 and find the biggest common factor number .

Step-1: Prime Factorization of 92670

Prime factors of 92670 are 2, 3, 5, 3089. Prime factorization of 92670 in exponential form is:

92670 = 2¹ × 3¹ × 5¹ × 3089¹

Step-2: Prime Factorization of 92675

Prime factors of 92675 are 5, 11, 337. Prime factorization of 92675 in exponential form is:

92675 = 5² × 11¹ × 337¹

Step-3: Factors of 92670

List of positive integer factors of 92670 that divides 92670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3089, 6178, 9267, 15445, 18534, 30890, 46335

Step-4: Factors of 92675

List of positive integer factors of 92675 that divides 92670 without a remainder.

1, 5, 11, 25, 55, 275, 337, 1685, 3707, 8425, 18535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92670 and 92675. The biggest common factor number is the GCF number.
So the greatest common factor 92670 and 92675 is 5.

Also check out the Least Common Multiple of 92670 and 92675