What is the Greatest Common Factor of 2217 and 2235?

Greatest common factor (GCF) of 2217 and 2235 is 3.

GCF(2217,2235) = 3

We will now calculate the prime factors of 2217 and 2235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2217 and 2235.

How to find the GCF of 2217 and 2235?

We will first find the prime factorization of 2217 and 2235. After we will calculate the factors of 2217 and 2235 and find the biggest common factor number .

Step-1: Prime Factorization of 2217

Prime factors of 2217 are 3, 739. Prime factorization of 2217 in exponential form is:

2217 = 3¹ × 739¹

Step-2: 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-3: Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1, 3, 739

Step-4: Factors of 2235

List of positive integer factors of 2235 that divides 2217 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2217 and 2235. The biggest common factor number is the GCF number.
So the greatest common factor 2217 and 2235 is 3.

Also check out the Least Common Multiple of 2217 and 2235