What is the Greatest Common Factor of 5382 and 5397?

Greatest common factor (GCF) of 5382 and 5397 is 3.

GCF(5382,5397) = 3

We will now calculate the prime factors of 5382 and 5397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5382 and 5397.

How to find the GCF of 5382 and 5397?

We will first find the prime factorization of 5382 and 5397. After we will calculate the factors of 5382 and 5397 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 5397

Prime factors of 5397 are 3, 7, 257. Prime factorization of 5397 in exponential form is:

5397 = 3¹ × 7¹ × 257¹

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 5397

List of positive integer factors of 5397 that divides 5382 without a remainder.

1, 3, 7, 21, 257, 771, 1799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5382 and 5397. The biggest common factor number is the GCF number.
So the greatest common factor 5382 and 5397 is 3.

Also check out the Least Common Multiple of 5382 and 5397