What is the Greatest Common Factor of 5390 and 5398?

Greatest common factor (GCF) of 5390 and 5398 is 2.

GCF(5390,5398) = 2

We will now calculate the prime factors of 5390 and 5398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5390 and 5398.

How to find the GCF of 5390 and 5398?

We will first find the prime factorization of 5390 and 5398. After we will calculate the factors of 5390 and 5398 and find the biggest common factor number .

Step-1: Prime Factorization of 5390

Prime factors of 5390 are 2, 5, 7, 11. Prime factorization of 5390 in exponential form is:

5390 = 2¹ × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 5398

Prime factors of 5398 are 2, 2699. Prime factorization of 5398 in exponential form is:

5398 = 2¹ × 2699¹

Step-3: Factors of 5390

List of positive integer factors of 5390 that divides 5390 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695

Step-4: Factors of 5398

List of positive integer factors of 5398 that divides 5390 without a remainder.

1, 2, 2699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5390 and 5398. The biggest common factor number is the GCF number.
So the greatest common factor 5390 and 5398 is 2.

Also check out the Least Common Multiple of 5390 and 5398