What is the Greatest Common Factor of 20175 and 20179?

Greatest common factor (GCF) of 20175 and 20179 is 1.

GCF(20175,20179) = 1

We will now calculate the prime factors of 20175 and 20179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20175 and 20179.

How to find the GCF of 20175 and 20179?

We will first find the prime factorization of 20175 and 20179. After we will calculate the factors of 20175 and 20179 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 20179

Prime factors of 20179 are 17, 1187. Prime factorization of 20179 in exponential form is:

20179 = 17¹ × 1187¹

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 20179

List of positive integer factors of 20179 that divides 20175 without a remainder.

1, 17, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20175 and 20179. The biggest common factor number is the GCF number.
So the greatest common factor 20175 and 20179 is 1.

Also check out the Least Common Multiple of 20175 and 20179