What is the Greatest Common Factor of 63200 and 63211?

Greatest common factor (GCF) of 63200 and 63211 is 1.

GCF(63200,63211) = 1

We will now calculate the prime factors of 63200 and 63211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63200 and 63211.

How to find the GCF of 63200 and 63211?

We will first find the prime factorization of 63200 and 63211. After we will calculate the factors of 63200 and 63211 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 63211

Prime factors of 63211 are 63211. Prime factorization of 63211 in exponential form is:

63211 = 63211¹

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 63211

List of positive integer factors of 63211 that divides 63200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63200 and 63211. The biggest common factor number is the GCF number.
So the greatest common factor 63200 and 63211 is 1.

Also check out the Least Common Multiple of 63200 and 63211