What is the Greatest Common Factor of 63165 and 63184?

Greatest common factor (GCF) of 63165 and 63184 is 1.

GCF(63165,63184) = 1

We will now calculate the prime factors of 63165 and 63184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63165 and 63184.

How to find the GCF of 63165 and 63184?

We will first find the prime factorization of 63165 and 63184. After we will calculate the factors of 63165 and 63184 and find the biggest common factor number .

Step-1: Prime Factorization of 63165

Prime factors of 63165 are 3, 5, 4211. Prime factorization of 63165 in exponential form is:

63165 = 3¹ × 5¹ × 4211¹

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 63165

List of positive integer factors of 63165 that divides 63165 without a remainder.

1, 3, 5, 15, 4211, 12633, 21055

Step-4: Factors of 63184

List of positive integer factors of 63184 that divides 63165 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 63165 and 63184. The biggest common factor number is the GCF number.
So the greatest common factor 63165 and 63184 is 1.

Also check out the Least Common Multiple of 63165 and 63184