What is the Greatest Common Factor of 20176 and 20188?

Greatest common factor (GCF) of 20176 and 20188 is 4.

GCF(20176,20188) = 4

We will now calculate the prime factors of 20176 and 20188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20176 and 20188.

How to find the GCF of 20176 and 20188?

We will first find the prime factorization of 20176 and 20188. After we will calculate the factors of 20176 and 20188 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 20188

Prime factors of 20188 are 2, 7, 103. Prime factorization of 20188 in exponential form is:

20188 = 2² × 7² × 103¹

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 20188

List of positive integer factors of 20188 that divides 20176 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 103, 196, 206, 412, 721, 1442, 2884, 5047, 10094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20176 and 20188. The biggest common factor number is the GCF number.
So the greatest common factor 20176 and 20188 is 4.

Also check out the Least Common Multiple of 20176 and 20188