What is the Greatest Common Factor of 56385 and 56395?

Greatest common factor (GCF) of 56385 and 56395 is 5.

GCF(56385,56395) = 5

We will now calculate the prime factors of 56385 and 56395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56385 and 56395.

How to find the GCF of 56385 and 56395?

We will first find the prime factorization of 56385 and 56395. After we will calculate the factors of 56385 and 56395 and find the biggest common factor number .

Step-1: Prime Factorization of 56385

Prime factors of 56385 are 3, 5, 7, 179. Prime factorization of 56385 in exponential form is:

56385 = 3² × 5¹ × 7¹ × 179¹

Step-2: Prime Factorization of 56395

Prime factors of 56395 are 5, 11279. Prime factorization of 56395 in exponential form is:

56395 = 5¹ × 11279¹

Step-3: Factors of 56385

List of positive integer factors of 56385 that divides 56385 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 179, 315, 537, 895, 1253, 1611, 2685, 3759, 6265, 8055, 11277, 18795

Step-4: Factors of 56395

List of positive integer factors of 56395 that divides 56385 without a remainder.

1, 5, 11279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56385 and 56395. The biggest common factor number is the GCF number.
So the greatest common factor 56385 and 56395 is 5.

Also check out the Least Common Multiple of 56385 and 56395