What is the Greatest Common Factor of 21200 and 21220?

Greatest common factor (GCF) of 21200 and 21220 is 20.

GCF(21200,21220) = 20

We will now calculate the prime factors of 21200 and 21220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21200 and 21220.

How to find the GCF of 21200 and 21220?

We will first find the prime factorization of 21200 and 21220. After we will calculate the factors of 21200 and 21220 and find the biggest common factor number .

Step-1: Prime Factorization of 21200

Prime factors of 21200 are 2, 5, 53. Prime factorization of 21200 in exponential form is:

21200 = 2⁴ × 5² × 53¹

Step-2: Prime Factorization of 21220

Prime factors of 21220 are 2, 5, 1061. Prime factorization of 21220 in exponential form is:

21220 = 2² × 5¹ × 1061¹

Step-3: Factors of 21200

List of positive integer factors of 21200 that divides 21200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 53, 80, 100, 106, 200, 212, 265, 400, 424, 530, 848, 1060, 1325, 2120, 2650, 4240, 5300, 10600

Step-4: Factors of 21220

List of positive integer factors of 21220 that divides 21200 without a remainder.

1, 2, 4, 5, 10, 20, 1061, 2122, 4244, 5305, 10610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21200 and 21220. The biggest common factor number is the GCF number.
So the greatest common factor 21200 and 21220 is 20.

Also check out the Least Common Multiple of 21200 and 21220