What is the Greatest Common Factor of 56378 and 56385?

Greatest common factor (GCF) of 56378 and 56385 is 7.

GCF(56378,56385) = 7

We will now calculate the prime factors of 56378 and 56385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56378 and 56385.

How to find the GCF of 56378 and 56385?

We will first find the prime factorization of 56378 and 56385. After we will calculate the factors of 56378 and 56385 and find the biggest common factor number .

Step-1: Prime Factorization of 56378

Prime factors of 56378 are 2, 7, 4027. Prime factorization of 56378 in exponential form is:

56378 = 2¹ × 7¹ × 4027¹

Step-2: 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-3: Factors of 56378

List of positive integer factors of 56378 that divides 56378 without a remainder.

1, 2, 7, 14, 4027, 8054, 28189

Step-4: Factors of 56385

List of positive integer factors of 56385 that divides 56378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56378 and 56385. The biggest common factor number is the GCF number.
So the greatest common factor 56378 and 56385 is 7.

Also check out the Least Common Multiple of 56378 and 56385