What is the Greatest Common Factor of 2219 and 2237?

Greatest common factor (GCF) of 2219 and 2237 is 1.

GCF(2219,2237) = 1

We will now calculate the prime factors of 2219 and 2237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2219 and 2237.

How to find the GCF of 2219 and 2237?

We will first find the prime factorization of 2219 and 2237. After we will calculate the factors of 2219 and 2237 and find the biggest common factor number .

Step-1: Prime Factorization of 2219

Prime factors of 2219 are 7, 317. Prime factorization of 2219 in exponential form is:

2219 = 7¹ × 317¹

Step-2: Prime Factorization of 2237

Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:

2237 = 2237¹

Step-3: Factors of 2219

List of positive integer factors of 2219 that divides 2219 without a remainder.

1, 7, 317

Step-4: Factors of 2237

List of positive integer factors of 2237 that divides 2219 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2219 and 2237. The biggest common factor number is the GCF number.
So the greatest common factor 2219 and 2237 is 1.

Also check out the Least Common Multiple of 2219 and 2237