What is the Greatest Common Factor of 20176 and 20196?

Greatest common factor (GCF) of 20176 and 20196 is 4.

GCF(20176,20196) = 4

We will now calculate the prime factors of 20176 and 20196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20176 and 20196.

How to find the GCF of 20176 and 20196?

We will first find the prime factorization of 20176 and 20196. After we will calculate the factors of 20176 and 20196 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 20196

Prime factors of 20196 are 2, 3, 11, 17. Prime factorization of 20196 in exponential form is:

20196 = 2² × 3³ × 11¹ × 17¹

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 20196

List of positive integer factors of 20196 that divides 20176 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 27, 33, 34, 36, 44, 51, 54, 66, 68, 99, 102, 108, 132, 153, 187, 198, 204, 297, 306, 374, 396, 459, 561, 594, 612, 748, 918, 1122, 1188, 1683, 1836, 2244, 3366, 5049, 6732, 10098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20176 and 20196. The biggest common factor number is the GCF number.
So the greatest common factor 20176 and 20196 is 4.

Also check out the Least Common Multiple of 20176 and 20196