What is the Greatest Common Factor of 5174 and 5188?

Greatest common factor (GCF) of 5174 and 5188 is 2.

GCF(5174,5188) = 2

We will now calculate the prime factors of 5174 and 5188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5174 and 5188.

How to find the GCF of 5174 and 5188?

We will first find the prime factorization of 5174 and 5188. After we will calculate the factors of 5174 and 5188 and find the biggest common factor number .

Step-1: Prime Factorization of 5174

Prime factors of 5174 are 2, 13, 199. Prime factorization of 5174 in exponential form is:

5174 = 2¹ × 13¹ × 199¹

Step-2: Prime Factorization of 5188

Prime factors of 5188 are 2, 1297. Prime factorization of 5188 in exponential form is:

5188 = 2² × 1297¹

Step-3: Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1, 2, 13, 26, 199, 398, 2587

Step-4: Factors of 5188

List of positive integer factors of 5188 that divides 5174 without a remainder.

1, 2, 4, 1297, 2594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5174 and 5188. The biggest common factor number is the GCF number.
So the greatest common factor 5174 and 5188 is 2.

Also check out the Least Common Multiple of 5174 and 5188