What is the Greatest Common Factor of 20176 and 20189?

Greatest common factor (GCF) of 20176 and 20189 is 13.

GCF(20176,20189) = 13

We will now calculate the prime factors of 20176 and 20189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20176 and 20189.

How to find the GCF of 20176 and 20189?

We will first find the prime factorization of 20176 and 20189. After we will calculate the factors of 20176 and 20189 and find the biggest common factor number .

Step-1: Prime Factorization of 20176

Prime factors of 20176 are 2, 13, 97. Prime factorization of 20176 in exponential form is:

20176 = 2⁴ × 13¹ × 97¹

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 20176

List of positive integer factors of 20176 that divides 20176 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 97, 104, 194, 208, 388, 776, 1261, 1552, 2522, 5044, 10088

Step-4: Factors of 20189

List of positive integer factors of 20189 that divides 20176 without a remainder.

1, 13, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20176 and 20189. The biggest common factor number is the GCF number.
So the greatest common factor 20176 and 20189 is 13.

Also check out the Least Common Multiple of 20176 and 20189