What is the Greatest Common Factor of 2200 and 2220?

Greatest common factor (GCF) of 2200 and 2220 is 20.

GCF(2200,2220) = 20

We will now calculate the prime factors of 2200 and 2220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2200 and 2220.

How to find the GCF of 2200 and 2220?

We will first find the prime factorization of 2200 and 2220. After we will calculate the factors of 2200 and 2220 and find the biggest common factor number .

Step-1: Prime Factorization of 2200

Prime factors of 2200 are 2, 5, 11. Prime factorization of 2200 in exponential form is:

2200 = 2³ × 5² × 11¹

Step-2: Prime Factorization of 2220

Prime factors of 2220 are 2, 3, 5, 37. Prime factorization of 2220 in exponential form is:

2220 = 2² × 3¹ × 5¹ × 37¹

Step-3: Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100

Step-4: Factors of 2220

List of positive integer factors of 2220 that divides 2200 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2200 and 2220. The biggest common factor number is the GCF number.
So the greatest common factor 2200 and 2220 is 20.

Also check out the Least Common Multiple of 2200 and 2220