What is the Greatest Common Factor of 2198 and 2216?

Greatest common factor (GCF) of 2198 and 2216 is 2.

GCF(2198,2216) = 2

We will now calculate the prime factors of 2198 and 2216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2198 and 2216.

How to find the GCF of 2198 and 2216?

We will first find the prime factorization of 2198 and 2216. After we will calculate the factors of 2198 and 2216 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 2216

Prime factors of 2216 are 2, 277. Prime factorization of 2216 in exponential form is:

2216 = 2³ × 277¹

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 2216

List of positive integer factors of 2216 that divides 2198 without a remainder.

1, 2, 4, 8, 277, 554, 1108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2198 and 2216. The biggest common factor number is the GCF number.
So the greatest common factor 2198 and 2216 is 2.

Also check out the Least Common Multiple of 2198 and 2216