What is the Greatest Common Factor of 63173 and 63184?

Greatest common factor (GCF) of 63173 and 63184 is 11.

GCF(63173,63184) = 11

We will now calculate the prime factors of 63173 and 63184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63173 and 63184.

How to find the GCF of 63173 and 63184?

We will first find the prime factorization of 63173 and 63184. After we will calculate the factors of 63173 and 63184 and find the biggest common factor number .

Step-1: Prime Factorization of 63173

Prime factors of 63173 are 11, 5743. Prime factorization of 63173 in exponential form is:

63173 = 11¹ × 5743¹

Step-2: Prime Factorization of 63184

Prime factors of 63184 are 2, 11, 359. Prime factorization of 63184 in exponential form is:

63184 = 2⁴ × 11¹ × 359¹

Step-3: Factors of 63173

List of positive integer factors of 63173 that divides 63173 without a remainder.

1, 11, 5743

Step-4: Factors of 63184

List of positive integer factors of 63184 that divides 63173 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 359, 718, 1436, 2872, 3949, 5744, 7898, 15796, 31592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63173 and 63184. The biggest common factor number is the GCF number.
So the greatest common factor 63173 and 63184 is 11.

Also check out the Least Common Multiple of 63173 and 63184