What is the Greatest Common Factor of 5174 and 5183?

Greatest common factor (GCF) of 5174 and 5183 is 1.

GCF(5174,5183) = 1

We will now calculate the prime factors of 5174 and 5183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5174 and 5183.

How to find the GCF of 5174 and 5183?

We will first find the prime factorization of 5174 and 5183. After we will calculate the factors of 5174 and 5183 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 5183

Prime factors of 5183 are 71, 73. Prime factorization of 5183 in exponential form is:

5183 = 71¹ × 73¹

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 5183

List of positive integer factors of 5183 that divides 5174 without a remainder.

1, 71, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5174 and 5183. The biggest common factor number is the GCF number.
So the greatest common factor 5174 and 5183 is 1.

Also check out the Least Common Multiple of 5174 and 5183