What is the Greatest Common Factor of 92585 and 92600?

Greatest common factor (GCF) of 92585 and 92600 is 5.

GCF(92585,92600) = 5

We will now calculate the prime factors of 92585 and 92600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92585 and 92600.

How to find the GCF of 92585 and 92600?

We will first find the prime factorization of 92585 and 92600. After we will calculate the factors of 92585 and 92600 and find the biggest common factor number .

Step-1: Prime Factorization of 92585

Prime factors of 92585 are 5, 18517. Prime factorization of 92585 in exponential form is:

92585 = 5¹ × 18517¹

Step-2: Prime Factorization of 92600

Prime factors of 92600 are 2, 5, 463. Prime factorization of 92600 in exponential form is:

92600 = 2³ × 5² × 463¹

Step-3: Factors of 92585

List of positive integer factors of 92585 that divides 92585 without a remainder.

1, 5, 18517

Step-4: Factors of 92600

List of positive integer factors of 92600 that divides 92585 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 463, 926, 1852, 2315, 3704, 4630, 9260, 11575, 18520, 23150, 46300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92585 and 92600. The biggest common factor number is the GCF number.
So the greatest common factor 92585 and 92600 is 5.

Also check out the Least Common Multiple of 92585 and 92600