What is the Greatest Common Factor of 2198 and 2207?

Greatest common factor (GCF) of 2198 and 2207 is 1.

GCF(2198,2207) = 1

We will now calculate the prime factors of 2198 and 2207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2198 and 2207.

How to find the GCF of 2198 and 2207?

We will first find the prime factorization of 2198 and 2207. After we will calculate the factors of 2198 and 2207 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 2207

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 2207¹

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 2207

List of positive integer factors of 2207 that divides 2198 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2198 and 2207. The biggest common factor number is the GCF number.
So the greatest common factor 2198 and 2207 is 1.

Also check out the Least Common Multiple of 2198 and 2207