What is the Greatest Common Factor of 5398 and 5418?

Greatest common factor (GCF) of 5398 and 5418 is 2.

GCF(5398,5418) = 2

We will now calculate the prime factors of 5398 and 5418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5398 and 5418.

How to find the GCF of 5398 and 5418?

We will first find the prime factorization of 5398 and 5418. After we will calculate the factors of 5398 and 5418 and find the biggest common factor number .

Step-1: Prime Factorization of 5398

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

5398 = 2¹ × 2699¹

Step-2: Prime Factorization of 5418

Prime factors of 5418 are 2, 3, 7, 43. Prime factorization of 5418 in exponential form is:

5418 = 2¹ × 3² × 7¹ × 43¹

Step-3: Factors of 5398

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

1, 2, 2699

Step-4: Factors of 5418

List of positive integer factors of 5418 that divides 5398 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5398 and 5418. The biggest common factor number is the GCF number.
So the greatest common factor 5398 and 5418 is 2.

Also check out the Least Common Multiple of 5398 and 5418