What is the Greatest Common Factor of 2205 and 2220?

Greatest common factor (GCF) of 2205 and 2220 is 15.

GCF(2205,2220) = 15

We will now calculate the prime factors of 2205 and 2220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2205 and 2220.

How to find the GCF of 2205 and 2220?

We will first find the prime factorization of 2205 and 2220. After we will calculate the factors of 2205 and 2220 and find the biggest common factor number .

Step-1: Prime Factorization of 2205

Prime factors of 2205 are 3, 5, 7. Prime factorization of 2205 in exponential form is:

2205 = 3² × 5¹ × 7²

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 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735

Step-4: Factors of 2220

List of positive integer factors of 2220 that divides 2205 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 2205 and 2220. The biggest common factor number is the GCF number.
So the greatest common factor 2205 and 2220 is 15.

Also check out the Least Common Multiple of 2205 and 2220