What is the Greatest Common Factor of 63196 and 63200?

Greatest common factor (GCF) of 63196 and 63200 is 4.

GCF(63196,63200) = 4

We will now calculate the prime factors of 63196 and 63200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63196 and 63200.

How to find the GCF of 63196 and 63200?

We will first find the prime factorization of 63196 and 63200. After we will calculate the factors of 63196 and 63200 and find the biggest common factor number .

Step-1: Prime Factorization of 63196

Prime factors of 63196 are 2, 7, 37, 61. Prime factorization of 63196 in exponential form is:

63196 = 2² × 7¹ × 37¹ × 61¹

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 63196

List of positive integer factors of 63196 that divides 63196 without a remainder.

1, 2, 4, 7, 14, 28, 37, 61, 74, 122, 148, 244, 259, 427, 518, 854, 1036, 1708, 2257, 4514, 9028, 15799, 31598

Step-4: Factors of 63200

List of positive integer factors of 63200 that divides 63196 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 63196 and 63200. The biggest common factor number is the GCF number.
So the greatest common factor 63196 and 63200 is 4.

Also check out the Least Common Multiple of 63196 and 63200