What is the Greatest Common Factor of 63200 and 63220?

Greatest common factor (GCF) of 63200 and 63220 is 20.

GCF(63200,63220) = 20

We will now calculate the prime factors of 63200 and 63220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63200 and 63220.

How to find the GCF of 63200 and 63220?

We will first find the prime factorization of 63200 and 63220. After we will calculate the factors of 63200 and 63220 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 63220

Prime factors of 63220 are 2, 5, 29, 109. Prime factorization of 63220 in exponential form is:

63220 = 2² × 5¹ × 29¹ × 109¹

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 63220

List of positive integer factors of 63220 that divides 63200 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 109, 116, 145, 218, 290, 436, 545, 580, 1090, 2180, 3161, 6322, 12644, 15805, 31610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63200 and 63220. The biggest common factor number is the GCF number.
So the greatest common factor 63200 and 63220 is 20.

Also check out the Least Common Multiple of 63200 and 63220