What is the Greatest Common Factor of 5274 and 5279?

Greatest common factor (GCF) of 5274 and 5279 is 1.

GCF(5274,5279) = 1

We will now calculate the prime factors of 5274 and 5279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5274 and 5279.

How to find the GCF of 5274 and 5279?

We will first find the prime factorization of 5274 and 5279. After we will calculate the factors of 5274 and 5279 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5279

Prime factors of 5279 are 5279. Prime factorization of 5279 in exponential form is:

5279 = 5279¹

Step-3: Factors of 5274

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

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

Step-4: Factors of 5279

List of positive integer factors of 5279 that divides 5274 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5274 and 5279. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5279 is 1.

Also check out the Least Common Multiple of 5274 and 5279