What is the Greatest Common Factor of 32500 and 32510?

Greatest common factor (GCF) of 32500 and 32510 is 10.

GCF(32500,32510) = 10

We will now calculate the prime factors of 32500 and 32510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32500 and 32510.

How to find the GCF of 32500 and 32510?

We will first find the prime factorization of 32500 and 32510. After we will calculate the factors of 32500 and 32510 and find the biggest common factor number .

Step-1: Prime Factorization of 32500

Prime factors of 32500 are 2, 5, 13. Prime factorization of 32500 in exponential form is:

32500 = 2² × 5⁴ × 13¹

Step-2: Prime Factorization of 32510

Prime factors of 32510 are 2, 5, 3251. Prime factorization of 32510 in exponential form is:

32510 = 2¹ × 5¹ × 3251¹

Step-3: Factors of 32500

List of positive integer factors of 32500 that divides 32500 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 625, 650, 1250, 1300, 1625, 2500, 3250, 6500, 8125, 16250

Step-4: Factors of 32510

List of positive integer factors of 32510 that divides 32500 without a remainder.

1, 2, 5, 10, 3251, 6502, 16255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32500 and 32510. The biggest common factor number is the GCF number.
So the greatest common factor 32500 and 32510 is 10.

Also check out the Least Common Multiple of 32500 and 32510