What is the Greatest Common Factor of 32500 and 32509?

Greatest common factor (GCF) of 32500 and 32509 is 1.

GCF(32500,32509) = 1

We will now calculate the prime factors of 32500 and 32509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32500 and 32509.

How to find the GCF of 32500 and 32509?

We will first find the prime factorization of 32500 and 32509. After we will calculate the factors of 32500 and 32509 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 32509

Prime factors of 32509 are 19, 29, 59. Prime factorization of 32509 in exponential form is:

32509 = 19¹ × 29¹ × 59¹

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 32509

List of positive integer factors of 32509 that divides 32500 without a remainder.

1, 19, 29, 59, 551, 1121, 1711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32500 and 32509. The biggest common factor number is the GCF number.
So the greatest common factor 32500 and 32509 is 1.

Also check out the Least Common Multiple of 32500 and 32509