What is the Greatest Common Factor of 5274 and 5289?

Greatest common factor (GCF) of 5274 and 5289 is 3.

GCF(5274,5289) = 3

We will now calculate the prime factors of 5274 and 5289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5274 and 5289.

How to find the GCF of 5274 and 5289?

We will first find the prime factorization of 5274 and 5289. After we will calculate the factors of 5274 and 5289 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 5289

Prime factors of 5289 are 3, 41, 43. Prime factorization of 5289 in exponential form is:

5289 = 3¹ × 41¹ × 43¹

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 5289

List of positive integer factors of 5289 that divides 5274 without a remainder.

1, 3, 41, 43, 123, 129, 1763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5274 and 5289. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5289 is 3.

Also check out the Least Common Multiple of 5274 and 5289