What is the Greatest Common Factor of 63184 and 63200?

Greatest common factor (GCF) of 63184 and 63200 is 16.

GCF(63184,63200) = 16

We will now calculate the prime factors of 63184 and 63200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63184 and 63200.

How to find the GCF of 63184 and 63200?

We will first find the prime factorization of 63184 and 63200. After we will calculate the factors of 63184 and 63200 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 63200

Prime factors of 63200 are 2, 5, 79. Prime factorization of 63200 in exponential form is:

63200 = 2⁵ × 5² × 79¹

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 63200

List of positive integer factors of 63200 that divides 63184 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 79, 80, 100, 158, 160, 200, 316, 395, 400, 632, 790, 800, 1264, 1580, 1975, 2528, 3160, 3950, 6320, 7900, 12640, 15800, 31600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63184 and 63200. The biggest common factor number is the GCF number.
So the greatest common factor 63184 and 63200 is 16.

Also check out the Least Common Multiple of 63184 and 63200