What is the Greatest Common Factor of 5367 and 5385?

Greatest common factor (GCF) of 5367 and 5385 is 3.

GCF(5367,5385) = 3

We will now calculate the prime factors of 5367 and 5385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5367 and 5385.

How to find the GCF of 5367 and 5385?

We will first find the prime factorization of 5367 and 5385. After we will calculate the factors of 5367 and 5385 and find the biggest common factor number .

Step-1: Prime Factorization of 5367

Prime factors of 5367 are 3, 1789. Prime factorization of 5367 in exponential form is:

5367 = 3¹ × 1789¹

Step-2: Prime Factorization of 5385

Prime factors of 5385 are 3, 5, 359. Prime factorization of 5385 in exponential form is:

5385 = 3¹ × 5¹ × 359¹

Step-3: Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1, 3, 1789

Step-4: Factors of 5385

List of positive integer factors of 5385 that divides 5367 without a remainder.

1, 3, 5, 15, 359, 1077, 1795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5367 and 5385. The biggest common factor number is the GCF number.
So the greatest common factor 5367 and 5385 is 3.

Also check out the Least Common Multiple of 5367 and 5385