What is the Greatest Common Factor of 20325 and 20340?

Greatest common factor (GCF) of 20325 and 20340 is 15.

GCF(20325,20340) = 15

We will now calculate the prime factors of 20325 and 20340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20325 and 20340.

How to find the GCF of 20325 and 20340?

We will first find the prime factorization of 20325 and 20340. After we will calculate the factors of 20325 and 20340 and find the biggest common factor number .

Step-1: Prime Factorization of 20325

Prime factors of 20325 are 3, 5, 271. Prime factorization of 20325 in exponential form is:

20325 = 3¹ × 5² × 271¹

Step-2: Prime Factorization of 20340

Prime factors of 20340 are 2, 3, 5, 113. Prime factorization of 20340 in exponential form is:

20340 = 2² × 3² × 5¹ × 113¹

Step-3: Factors of 20325

List of positive integer factors of 20325 that divides 20325 without a remainder.

1, 3, 5, 15, 25, 75, 271, 813, 1355, 4065, 6775

Step-4: Factors of 20340

List of positive integer factors of 20340 that divides 20325 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 113, 180, 226, 339, 452, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3390, 4068, 5085, 6780, 10170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20325 and 20340. The biggest common factor number is the GCF number.
So the greatest common factor 20325 and 20340 is 15.

Also check out the Least Common Multiple of 20325 and 20340