What is the Greatest Common Factor of 5382 and 5395?

Greatest common factor (GCF) of 5382 and 5395 is 13.

GCF(5382,5395) = 13

We will now calculate the prime factors of 5382 and 5395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5382 and 5395.

How to find the GCF of 5382 and 5395?

We will first find the prime factorization of 5382 and 5395. After we will calculate the factors of 5382 and 5395 and find the biggest common factor number .

Step-1: Prime Factorization of 5382

Prime factors of 5382 are 2, 3, 13, 23. Prime factorization of 5382 in exponential form is:

5382 = 2¹ × 3² × 13¹ × 23¹

Step-2: Prime Factorization of 5395

Prime factors of 5395 are 5, 13, 83. Prime factorization of 5395 in exponential form is:

5395 = 5¹ × 13¹ × 83¹

Step-3: Factors of 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691

Step-4: Factors of 5395

List of positive integer factors of 5395 that divides 5382 without a remainder.

1, 5, 13, 65, 83, 415, 1079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5382 and 5395. The biggest common factor number is the GCF number.
So the greatest common factor 5382 and 5395 is 13.

Also check out the Least Common Multiple of 5382 and 5395