What is the Greatest Common Factor of 32500 and 32520?

Greatest common factor (GCF) of 32500 and 32520 is 20.

GCF(32500,32520) = 20

We will now calculate the prime factors of 32500 and 32520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32500 and 32520.

How to find the GCF of 32500 and 32520?

We will first find the prime factorization of 32500 and 32520. After we will calculate the factors of 32500 and 32520 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 32520

Prime factors of 32520 are 2, 3, 5, 271. Prime factorization of 32520 in exponential form is:

32520 = 2³ × 3¹ × 5¹ × 271¹

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 32520

List of positive integer factors of 32520 that divides 32500 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 271, 542, 813, 1084, 1355, 1626, 2168, 2710, 3252, 4065, 5420, 6504, 8130, 10840, 16260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32500 and 32520. The biggest common factor number is the GCF number.
So the greatest common factor 32500 and 32520 is 20.

Also check out the Least Common Multiple of 32500 and 32520