What is the Greatest Common Factor of 5365 and 5382?

Greatest common factor (GCF) of 5365 and 5382 is 1.

GCF(5365,5382) = 1

We will now calculate the prime factors of 5365 and 5382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5365 and 5382.

How to find the GCF of 5365 and 5382?

We will first find the prime factorization of 5365 and 5382. After we will calculate the factors of 5365 and 5382 and find the biggest common factor number .

Step-1: Prime Factorization of 5365

Prime factors of 5365 are 5, 29, 37. Prime factorization of 5365 in exponential form is:

5365 = 5¹ × 29¹ × 37¹

Step-2: 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-3: Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1, 5, 29, 37, 145, 185, 1073

Step-4: Factors of 5382

List of positive integer factors of 5382 that divides 5365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5365 and 5382. The biggest common factor number is the GCF number.
So the greatest common factor 5365 and 5382 is 1.

Also check out the Least Common Multiple of 5365 and 5382