What is the Greatest Common Factor of 20179 and 20189?

Greatest common factor (GCF) of 20179 and 20189 is 1.

GCF(20179,20189) = 1

We will now calculate the prime factors of 20179 and 20189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20179 and 20189.

How to find the GCF of 20179 and 20189?

We will first find the prime factorization of 20179 and 20189. After we will calculate the factors of 20179 and 20189 and find the biggest common factor number .

Step-1: Prime Factorization of 20179

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

20179 = 17¹ × 1187¹

Step-2: Prime Factorization of 20189

Prime factors of 20189 are 13, 1553. Prime factorization of 20189 in exponential form is:

20189 = 13¹ × 1553¹

Step-3: Factors of 20179

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

1, 17, 1187

Step-4: Factors of 20189

List of positive integer factors of 20189 that divides 20179 without a remainder.

1, 13, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20179 and 20189. The biggest common factor number is the GCF number.
So the greatest common factor 20179 and 20189 is 1.

Also check out the Least Common Multiple of 20179 and 20189