What is the Greatest Common Factor of 5174 and 5178?

Greatest common factor (GCF) of 5174 and 5178 is 2.

GCF(5174,5178) = 2

We will now calculate the prime factors of 5174 and 5178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5174 and 5178.

How to find the GCF of 5174 and 5178?

We will first find the prime factorization of 5174 and 5178. After we will calculate the factors of 5174 and 5178 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 5178

Prime factors of 5178 are 2, 3, 863. Prime factorization of 5178 in exponential form is:

5178 = 2¹ × 3¹ × 863¹

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 5178

List of positive integer factors of 5178 that divides 5174 without a remainder.

1, 2, 3, 6, 863, 1726, 2589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5174 and 5178. The biggest common factor number is the GCF number.
So the greatest common factor 5174 and 5178 is 2.

Also check out the Least Common Multiple of 5174 and 5178