What is the Greatest Common Factor of 20178 and 20184?

Greatest common factor (GCF) of 20178 and 20184 is 6.

GCF(20178,20184) = 6

We will now calculate the prime factors of 20178 and 20184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20178 and 20184.

How to find the GCF of 20178 and 20184?

We will first find the prime factorization of 20178 and 20184. After we will calculate the factors of 20178 and 20184 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 20184

Prime factors of 20184 are 2, 3, 29. Prime factorization of 20184 in exponential form is:

20184 = 2³ × 3¹ × 29²

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 20184

List of positive integer factors of 20184 that divides 20178 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696, 841, 1682, 2523, 3364, 5046, 6728, 10092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20178 and 20184. The biggest common factor number is the GCF number.
So the greatest common factor 20178 and 20184 is 6.

Also check out the Least Common Multiple of 20178 and 20184