What is the Greatest Common Factor of 5365 and 5378?

Greatest common factor (GCF) of 5365 and 5378 is 1.

GCF(5365,5378) = 1

We will now calculate the prime factors of 5365 and 5378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5365 and 5378.

How to find the GCF of 5365 and 5378?

We will first find the prime factorization of 5365 and 5378. After we will calculate the factors of 5365 and 5378 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 5378

Prime factors of 5378 are 2, 2689. Prime factorization of 5378 in exponential form is:

5378 = 2¹ × 2689¹

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 5378

List of positive integer factors of 5378 that divides 5365 without a remainder.

1, 2, 2689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5365 and 5378. The biggest common factor number is the GCF number.
So the greatest common factor 5365 and 5378 is 1.

Also check out the Least Common Multiple of 5365 and 5378