What is the Greatest Common Factor of 5258 and 5274?

Greatest common factor (GCF) of 5258 and 5274 is 2.

GCF(5258,5274) = 2

We will now calculate the prime factors of 5258 and 5274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5258 and 5274.

How to find the GCF of 5258 and 5274?

We will first find the prime factorization of 5258 and 5274. After we will calculate the factors of 5258 and 5274 and find the biggest common factor number .

Step-1: Prime Factorization of 5258

Prime factors of 5258 are 2, 11, 239. Prime factorization of 5258 in exponential form is:

5258 = 2¹ × 11¹ × 239¹

Step-2: Prime Factorization of 5274

Prime factors of 5274 are 2, 3, 293. Prime factorization of 5274 in exponential form is:

5274 = 2¹ × 3² × 293¹

Step-3: Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1, 2, 11, 22, 239, 478, 2629

Step-4: Factors of 5274

List of positive integer factors of 5274 that divides 5258 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5258 and 5274. The biggest common factor number is the GCF number.
So the greatest common factor 5258 and 5274 is 2.

Also check out the Least Common Multiple of 5258 and 5274