What is the Greatest Common Factor of 5382 and 5388?

Greatest common factor (GCF) of 5382 and 5388 is 6.

GCF(5382,5388) = 6

We will now calculate the prime factors of 5382 and 5388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5382 and 5388.

How to find the GCF of 5382 and 5388?

We will first find the prime factorization of 5382 and 5388. After we will calculate the factors of 5382 and 5388 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 5388

Prime factors of 5388 are 2, 3, 449. Prime factorization of 5388 in exponential form is:

5388 = 2² × 3¹ × 449¹

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 5388

List of positive integer factors of 5388 that divides 5382 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5382 and 5388. The biggest common factor number is the GCF number.
So the greatest common factor 5382 and 5388 is 6.

Also check out the Least Common Multiple of 5382 and 5388