What is the Greatest Common Factor of 20178 and 20187?

Greatest common factor (GCF) of 20178 and 20187 is 9.

GCF(20178,20187) = 9

We will now calculate the prime factors of 20178 and 20187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20178 and 20187.

How to find the GCF of 20178 and 20187?

We will first find the prime factorization of 20178 and 20187. After we will calculate the factors of 20178 and 20187 and find the biggest common factor number .

Step-1: Prime Factorization of 20178

Prime factors of 20178 are 2, 3, 19, 59. Prime factorization of 20178 in exponential form is:

20178 = 2¹ × 3² × 19¹ × 59¹

Step-2: Prime Factorization of 20187

Prime factors of 20187 are 3, 2243. Prime factorization of 20187 in exponential form is:

20187 = 3² × 2243¹

Step-3: Factors of 20178

List of positive integer factors of 20178 that divides 20178 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 59, 114, 118, 171, 177, 342, 354, 531, 1062, 1121, 2242, 3363, 6726, 10089

Step-4: Factors of 20187

List of positive integer factors of 20187 that divides 20178 without a remainder.

1, 3, 9, 2243, 6729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20178 and 20187. The biggest common factor number is the GCF number.
So the greatest common factor 20178 and 20187 is 9.

Also check out the Least Common Multiple of 20178 and 20187