What is the Greatest Common Factor of 32325 and 32340?

Greatest common factor (GCF) of 32325 and 32340 is 15.

GCF(32325,32340) = 15

We will now calculate the prime factors of 32325 and 32340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32325 and 32340.

How to find the GCF of 32325 and 32340?

We will first find the prime factorization of 32325 and 32340. After we will calculate the factors of 32325 and 32340 and find the biggest common factor number .

Step-1: Prime Factorization of 32325

Prime factors of 32325 are 3, 5, 431. Prime factorization of 32325 in exponential form is:

32325 = 3¹ × 5² × 431¹

Step-2: Prime Factorization of 32340

Prime factors of 32340 are 2, 3, 5, 7, 11. Prime factorization of 32340 in exponential form is:

32340 = 2² × 3¹ × 5¹ × 7² × 11¹

Step-3: Factors of 32325

List of positive integer factors of 32325 that divides 32325 without a remainder.

1, 3, 5, 15, 25, 75, 431, 1293, 2155, 6465, 10775

Step-4: Factors of 32340

List of positive integer factors of 32340 that divides 32325 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 49, 55, 60, 66, 70, 77, 84, 98, 105, 110, 132, 140, 147, 154, 165, 196, 210, 220, 231, 245, 294, 308, 330, 385, 420, 462, 490, 539, 588, 660, 735, 770, 924, 980, 1078, 1155, 1470, 1540, 1617, 2156, 2310, 2695, 2940, 3234, 4620, 5390, 6468, 8085, 10780, 16170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32325 and 32340. The biggest common factor number is the GCF number.
So the greatest common factor 32325 and 32340 is 15.

Also check out the Least Common Multiple of 32325 and 32340