What is the Greatest Common Factor of 92500 and 92510?

Greatest common factor (GCF) of 92500 and 92510 is 10.

GCF(92500,92510) = 10

We will now calculate the prime factors of 92500 and 92510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92500 and 92510.

How to find the GCF of 92500 and 92510?

We will first find the prime factorization of 92500 and 92510. After we will calculate the factors of 92500 and 92510 and find the biggest common factor number .

Step-1: Prime Factorization of 92500

Prime factors of 92500 are 2, 5, 37. Prime factorization of 92500 in exponential form is:

92500 = 2² × 5⁴ × 37¹

Step-2: Prime Factorization of 92510

Prime factors of 92510 are 2, 5, 11, 29. Prime factorization of 92510 in exponential form is:

92510 = 2¹ × 5¹ × 11¹ × 29²

Step-3: Factors of 92500

List of positive integer factors of 92500 that divides 92500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 125, 148, 185, 250, 370, 500, 625, 740, 925, 1250, 1850, 2500, 3700, 4625, 9250, 18500, 23125, 46250

Step-4: Factors of 92510

List of positive integer factors of 92510 that divides 92500 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 841, 1595, 1682, 3190, 4205, 8410, 9251, 18502, 46255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92500 and 92510. The biggest common factor number is the GCF number.
So the greatest common factor 92500 and 92510 is 10.

Also check out the Least Common Multiple of 92500 and 92510