What is the Greatest Common Factor of 56385 and 56399?

Greatest common factor (GCF) of 56385 and 56399 is 7.

GCF(56385,56399) = 7

We will now calculate the prime factors of 56385 and 56399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56385 and 56399.

How to find the GCF of 56385 and 56399?

We will first find the prime factorization of 56385 and 56399. After we will calculate the factors of 56385 and 56399 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 56399

Prime factors of 56399 are 7, 1151. Prime factorization of 56399 in exponential form is:

56399 = 7² × 1151¹

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 56399

List of positive integer factors of 56399 that divides 56385 without a remainder.

1, 7, 49, 1151, 8057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56385 and 56399. The biggest common factor number is the GCF number.
So the greatest common factor 56385 and 56399 is 7.

Also check out the Least Common Multiple of 56385 and 56399