What is the Greatest Common Factor of 63200 and 63214?

Greatest common factor (GCF) of 63200 and 63214 is 2.

GCF(63200,63214) = 2

We will now calculate the prime factors of 63200 and 63214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63200 and 63214.

How to find the GCF of 63200 and 63214?

We will first find the prime factorization of 63200 and 63214. After we will calculate the factors of 63200 and 63214 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 63214

Prime factors of 63214 are 2, 31607. Prime factorization of 63214 in exponential form is:

63214 = 2¹ × 31607¹

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 63214

List of positive integer factors of 63214 that divides 63200 without a remainder.

1, 2, 31607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63200 and 63214. The biggest common factor number is the GCF number.
So the greatest common factor 63200 and 63214 is 2.

Also check out the Least Common Multiple of 63200 and 63214