What is the Greatest Common Factor of 20175 and 20195?

Greatest common factor (GCF) of 20175 and 20195 is 5.

GCF(20175,20195) = 5

We will now calculate the prime factors of 20175 and 20195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20175 and 20195.

How to find the GCF of 20175 and 20195?

We will first find the prime factorization of 20175 and 20195. After we will calculate the factors of 20175 and 20195 and find the biggest common factor number .

Step-1: Prime Factorization of 20175

Prime factors of 20175 are 3, 5, 269. Prime factorization of 20175 in exponential form is:

20175 = 3¹ × 5² × 269¹

Step-2: Prime Factorization of 20195

Prime factors of 20195 are 5, 7, 577. Prime factorization of 20195 in exponential form is:

20195 = 5¹ × 7¹ × 577¹

Step-3: Factors of 20175

List of positive integer factors of 20175 that divides 20175 without a remainder.

1, 3, 5, 15, 25, 75, 269, 807, 1345, 4035, 6725

Step-4: Factors of 20195

List of positive integer factors of 20195 that divides 20175 without a remainder.

1, 5, 7, 35, 577, 2885, 4039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20175 and 20195. The biggest common factor number is the GCF number.
So the greatest common factor 20175 and 20195 is 5.

Also check out the Least Common Multiple of 20175 and 20195