What is the Greatest Common Factor of 20177 and 20184?

Greatest common factor (GCF) of 20177 and 20184 is 1.

GCF(20177,20184) = 1

We will now calculate the prime factors of 20177 and 20184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20177 and 20184.

How to find the GCF of 20177 and 20184?

We will first find the prime factorization of 20177 and 20184. After we will calculate the factors of 20177 and 20184 and find the biggest common factor number .

Step-1: Prime Factorization of 20177

Prime factors of 20177 are 20177. Prime factorization of 20177 in exponential form is:

20177 = 20177¹

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 20177

List of positive integer factors of 20177 that divides 20177 without a remainder.

Step-4: Factors of 20184

List of positive integer factors of 20184 that divides 20177 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 20177 and 20184. The biggest common factor number is the GCF number.
So the greatest common factor 20177 and 20184 is 1.

Also check out the Least Common Multiple of 20177 and 20184