What is the Greatest Common Factor of 2198 and 2202?

Greatest common factor (GCF) of 2198 and 2202 is 2.

GCF(2198,2202) = 2

We will now calculate the prime factors of 2198 and 2202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2198 and 2202.

How to find the GCF of 2198 and 2202?

We will first find the prime factorization of 2198 and 2202. After we will calculate the factors of 2198 and 2202 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 2202

Prime factors of 2202 are 2, 3, 367. Prime factorization of 2202 in exponential form is:

2202 = 2¹ × 3¹ × 367¹

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 2202

List of positive integer factors of 2202 that divides 2198 without a remainder.

1, 2, 3, 6, 367, 734, 1101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2198 and 2202. The biggest common factor number is the GCF number.
So the greatest common factor 2198 and 2202 is 2.

Also check out the Least Common Multiple of 2198 and 2202