What is the Greatest Common Factor of 20172 and 20184?

Greatest common factor (GCF) of 20172 and 20184 is 12.

GCF(20172,20184) = 12

We will now calculate the prime factors of 20172 and 20184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20172 and 20184.

How to find the GCF of 20172 and 20184?

We will first find the prime factorization of 20172 and 20184. After we will calculate the factors of 20172 and 20184 and find the biggest common factor number .

Step-1: Prime Factorization of 20172

Prime factors of 20172 are 2, 3, 41. Prime factorization of 20172 in exponential form is:

20172 = 2² × 3¹ × 41²

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 20172

List of positive integer factors of 20172 that divides 20172 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 1681, 3362, 5043, 6724, 10086

Step-4: Factors of 20184

List of positive integer factors of 20184 that divides 20172 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 20172 and 20184. The biggest common factor number is the GCF number.
So the greatest common factor 20172 and 20184 is 12.

Also check out the Least Common Multiple of 20172 and 20184