What is the Greatest Common Factor of 20175 and 20194?

Greatest common factor (GCF) of 20175 and 20194 is 1.

GCF(20175,20194) = 1

We will now calculate the prime factors of 20175 and 20194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20175 and 20194.

How to find the GCF of 20175 and 20194?

We will first find the prime factorization of 20175 and 20194. After we will calculate the factors of 20175 and 20194 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 20194

Prime factors of 20194 are 2, 23, 439. Prime factorization of 20194 in exponential form is:

20194 = 2¹ × 23¹ × 439¹

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 20194

List of positive integer factors of 20194 that divides 20175 without a remainder.

1, 2, 23, 46, 439, 878, 10097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20175 and 20194. The biggest common factor number is the GCF number.
So the greatest common factor 20175 and 20194 is 1.

Also check out the Least Common Multiple of 20175 and 20194