What is the Greatest Common Factor of 2198 and 2215?

Greatest common factor (GCF) of 2198 and 2215 is 1.

GCF(2198,2215) = 1

We will now calculate the prime factors of 2198 and 2215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2198 and 2215.

How to find the GCF of 2198 and 2215?

We will first find the prime factorization of 2198 and 2215. After we will calculate the factors of 2198 and 2215 and find the biggest common factor number .

Step-1: Prime Factorization of 2198

Prime factors of 2198 are 2, 7, 157. Prime factorization of 2198 in exponential form is:

2198 = 2¹ × 7¹ × 157¹

Step-2: Prime Factorization of 2215

Prime factors of 2215 are 5, 443. Prime factorization of 2215 in exponential form is:

2215 = 5¹ × 443¹

Step-3: Factors of 2198

List of positive integer factors of 2198 that divides 2198 without a remainder.

1, 2, 7, 14, 157, 314, 1099

Step-4: Factors of 2215

List of positive integer factors of 2215 that divides 2198 without a remainder.

1, 5, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2198 and 2215. The biggest common factor number is the GCF number.
So the greatest common factor 2198 and 2215 is 1.

Also check out the Least Common Multiple of 2198 and 2215