What is the Greatest Common Factor of 32505 and 32520?

Greatest common factor (GCF) of 32505 and 32520 is 15.

GCF(32505,32520) = 15

We will now calculate the prime factors of 32505 and 32520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32505 and 32520.

How to find the GCF of 32505 and 32520?

We will first find the prime factorization of 32505 and 32520. After we will calculate the factors of 32505 and 32520 and find the biggest common factor number .

Step-1: Prime Factorization of 32505

Prime factors of 32505 are 3, 5, 11, 197. Prime factorization of 32505 in exponential form is:

32505 = 3¹ × 5¹ × 11¹ × 197¹

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 32505

List of positive integer factors of 32505 that divides 32505 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 197, 591, 985, 2167, 2955, 6501, 10835

Step-4: Factors of 32520

List of positive integer factors of 32520 that divides 32505 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 32505 and 32520. The biggest common factor number is the GCF number.
So the greatest common factor 32505 and 32520 is 15.

Also check out the Least Common Multiple of 32505 and 32520