What is the Greatest Common Factor of 63164 and 63184?

Greatest common factor (GCF) of 63164 and 63184 is 4.

GCF(63164,63184) = 4

We will now calculate the prime factors of 63164 and 63184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63164 and 63184.

How to find the GCF of 63164 and 63184?

We will first find the prime factorization of 63164 and 63184. After we will calculate the factors of 63164 and 63184 and find the biggest common factor number .

Step-1: Prime Factorization of 63164

Prime factors of 63164 are 2, 15791. Prime factorization of 63164 in exponential form is:

63164 = 2² × 15791¹

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 63164

List of positive integer factors of 63164 that divides 63164 without a remainder.

1, 2, 4, 15791, 31582

Step-4: Factors of 63184

List of positive integer factors of 63184 that divides 63164 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 63164 and 63184. The biggest common factor number is the GCF number.
So the greatest common factor 63164 and 63184 is 4.

Also check out the Least Common Multiple of 63164 and 63184