What is the Greatest Common Factor of 5390 and 5404?

Greatest common factor (GCF) of 5390 and 5404 is 14.

GCF(5390,5404) = 14

We will now calculate the prime factors of 5390 and 5404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5390 and 5404.

How to find the GCF of 5390 and 5404?

We will first find the prime factorization of 5390 and 5404. After we will calculate the factors of 5390 and 5404 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 5404

Prime factors of 5404 are 2, 7, 193. Prime factorization of 5404 in exponential form is:

5404 = 2² × 7¹ × 193¹

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 5404

List of positive integer factors of 5404 that divides 5390 without a remainder.

1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5390 and 5404. The biggest common factor number is the GCF number.
So the greatest common factor 5390 and 5404 is 14.

Also check out the Least Common Multiple of 5390 and 5404