What is the Greatest Common Factor of 32491 and 32500?

Greatest common factor (GCF) of 32491 and 32500 is 1.

GCF(32491,32500) = 1

We will now calculate the prime factors of 32491 and 32500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32491 and 32500.

How to find the GCF of 32491 and 32500?

We will first find the prime factorization of 32491 and 32500. After we will calculate the factors of 32491 and 32500 and find the biggest common factor number .

Step-1: Prime Factorization of 32491

Prime factors of 32491 are 32491. Prime factorization of 32491 in exponential form is:

32491 = 32491¹

Step-2: 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-3: Factors of 32491

List of positive integer factors of 32491 that divides 32491 without a remainder.

Step-4: Factors of 32500

List of positive integer factors of 32500 that divides 32491 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32491 and 32500. The biggest common factor number is the GCF number.
So the greatest common factor 32491 and 32500 is 1.

Also check out the Least Common Multiple of 32491 and 32500