What is the Greatest Common Factor of 63184 and 63198?

Greatest common factor (GCF) of 63184 and 63198 is 2.

GCF(63184,63198) = 2

We will now calculate the prime factors of 63184 and 63198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63184 and 63198.

How to find the GCF of 63184 and 63198?

We will first find the prime factorization of 63184 and 63198. After we will calculate the factors of 63184 and 63198 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63198

Prime factors of 63198 are 2, 3, 3511. Prime factorization of 63198 in exponential form is:

63198 = 2¹ × 3² × 3511¹

Step-3: Factors of 63184

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

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

Step-4: Factors of 63198

List of positive integer factors of 63198 that divides 63184 without a remainder.

1, 2, 3, 6, 9, 18, 3511, 7022, 10533, 21066, 31599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63184 and 63198. The biggest common factor number is the GCF number.
So the greatest common factor 63184 and 63198 is 2.

Also check out the Least Common Multiple of 63184 and 63198