What is the Greatest Common Factor of 2235 and 2244?

Greatest common factor (GCF) of 2235 and 2244 is 3.

GCF(2235,2244) = 3

We will now calculate the prime factors of 2235 and 2244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2235 and 2244.

How to find the GCF of 2235 and 2244?

We will first find the prime factorization of 2235 and 2244. After we will calculate the factors of 2235 and 2244 and find the biggest common factor number .

Step-1: Prime Factorization of 2235

Prime factors of 2235 are 3, 5, 149. Prime factorization of 2235 in exponential form is:

2235 = 3¹ × 5¹ × 149¹

Step-2: Prime Factorization of 2244

Prime factors of 2244 are 2, 3, 11, 17. Prime factorization of 2244 in exponential form is:

2244 = 2² × 3¹ × 11¹ × 17¹

Step-3: Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1, 3, 5, 15, 149, 447, 745

Step-4: Factors of 2244

List of positive integer factors of 2244 that divides 2235 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2235 and 2244. The biggest common factor number is the GCF number.
So the greatest common factor 2235 and 2244 is 3.

Also check out the Least Common Multiple of 2235 and 2244