What is the Greatest Common Factor of 63200 and 63212?

Greatest common factor (GCF) of 63200 and 63212 is 4.

GCF(63200,63212) = 4

We will now calculate the prime factors of 63200 and 63212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63200 and 63212.

How to find the GCF of 63200 and 63212?

We will first find the prime factorization of 63200 and 63212. After we will calculate the factors of 63200 and 63212 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63212

Prime factors of 63212 are 2, 15803. Prime factorization of 63212 in exponential form is:

63212 = 2² × 15803¹

Step-3: Factors of 63200

List of positive integer factors of 63200 that divides 63200 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

Step-4: Factors of 63212

List of positive integer factors of 63212 that divides 63200 without a remainder.

1, 2, 4, 15803, 31606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63200 and 63212. The biggest common factor number is the GCF number.
So the greatest common factor 63200 and 63212 is 4.

Also check out the Least Common Multiple of 63200 and 63212