What is the Greatest Common Factor of 5374 and 5389?

Greatest common factor (GCF) of 5374 and 5389 is 1.

GCF(5374,5389) = 1

We will now calculate the prime factors of 5374 and 5389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5374 and 5389.

How to find the GCF of 5374 and 5389?

We will first find the prime factorization of 5374 and 5389. After we will calculate the factors of 5374 and 5389 and find the biggest common factor number .

Step-1: Prime Factorization of 5374

Prime factors of 5374 are 2, 2687. Prime factorization of 5374 in exponential form is:

5374 = 2¹ × 2687¹

Step-2: Prime Factorization of 5389

Prime factors of 5389 are 17, 317. Prime factorization of 5389 in exponential form is:

5389 = 17¹ × 317¹

Step-3: Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1, 2, 2687

Step-4: Factors of 5389

List of positive integer factors of 5389 that divides 5374 without a remainder.

1, 17, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5374 and 5389. The biggest common factor number is the GCF number.
So the greatest common factor 5374 and 5389 is 1.

Also check out the Least Common Multiple of 5374 and 5389