What is the Greatest Common Factor of 20375 and 20380?

Greatest common factor (GCF) of 20375 and 20380 is 5.

GCF(20375,20380) = 5

We will now calculate the prime factors of 20375 and 20380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20375 and 20380.

How to find the GCF of 20375 and 20380?

We will first find the prime factorization of 20375 and 20380. After we will calculate the factors of 20375 and 20380 and find the biggest common factor number .

Step-1: Prime Factorization of 20375

Prime factors of 20375 are 5, 163. Prime factorization of 20375 in exponential form is:

20375 = 5³ × 163¹

Step-2: Prime Factorization of 20380

Prime factors of 20380 are 2, 5, 1019. Prime factorization of 20380 in exponential form is:

20380 = 2² × 5¹ × 1019¹

Step-3: Factors of 20375

List of positive integer factors of 20375 that divides 20375 without a remainder.

1, 5, 25, 125, 163, 815, 4075

Step-4: Factors of 20380

List of positive integer factors of 20380 that divides 20375 without a remainder.

1, 2, 4, 5, 10, 20, 1019, 2038, 4076, 5095, 10190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20375 and 20380. The biggest common factor number is the GCF number.
So the greatest common factor 20375 and 20380 is 5.

Also check out the Least Common Multiple of 20375 and 20380