What is the Greatest Common Factor of 20179 and 20184?

Greatest common factor (GCF) of 20179 and 20184 is 1.

GCF(20179,20184) = 1

We will now calculate the prime factors of 20179 and 20184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20179 and 20184.

How to find the GCF of 20179 and 20184?

We will first find the prime factorization of 20179 and 20184. After we will calculate the factors of 20179 and 20184 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 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 20179

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

1, 17, 1187

Step-4: Factors of 20184

List of positive integer factors of 20184 that divides 20179 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 20179 and 20184. The biggest common factor number is the GCF number.
So the greatest common factor 20179 and 20184 is 1.

Also check out the Least Common Multiple of 20179 and 20184