What is the Greatest Common Factor of 20179 and 20196?

Greatest common factor (GCF) of 20179 and 20196 is 17.

GCF(20179,20196) = 17

We will now calculate the prime factors of 20179 and 20196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20179 and 20196.

How to find the GCF of 20179 and 20196?

We will first find the prime factorization of 20179 and 20196. After we will calculate the factors of 20179 and 20196 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 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 20179

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

1, 17, 1187

Step-4: Factors of 20196

List of positive integer factors of 20196 that divides 20179 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 20179 and 20196. The biggest common factor number is the GCF number.
So the greatest common factor 20179 and 20196 is 17.

Also check out the Least Common Multiple of 20179 and 20196