What is the Greatest Common Factor of 20310 and 20325?

Greatest common factor (GCF) of 20310 and 20325 is 15.

GCF(20310,20325) = 15

We will now calculate the prime factors of 20310 and 20325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20310 and 20325.

How to find the GCF of 20310 and 20325?

We will first find the prime factorization of 20310 and 20325. After we will calculate the factors of 20310 and 20325 and find the biggest common factor number .

Step-1: Prime Factorization of 20310

Prime factors of 20310 are 2, 3, 5, 677. Prime factorization of 20310 in exponential form is:

20310 = 2¹ × 3¹ × 5¹ × 677¹

Step-2: 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-3: Factors of 20310

List of positive integer factors of 20310 that divides 20310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 677, 1354, 2031, 3385, 4062, 6770, 10155

Step-4: Factors of 20325

List of positive integer factors of 20325 that divides 20310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20310 and 20325. The biggest common factor number is the GCF number.
So the greatest common factor 20310 and 20325 is 15.

Also check out the Least Common Multiple of 20310 and 20325