What is the Greatest Common Factor of 56378 and 56392?

Greatest common factor (GCF) of 56378 and 56392 is 14.

GCF(56378,56392) = 14

We will now calculate the prime factors of 56378 and 56392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56378 and 56392.

How to find the GCF of 56378 and 56392?

We will first find the prime factorization of 56378 and 56392. After we will calculate the factors of 56378 and 56392 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 56392

Prime factors of 56392 are 2, 7, 19, 53. Prime factorization of 56392 in exponential form is:

56392 = 2³ × 7¹ × 19¹ × 53¹

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 56392

List of positive integer factors of 56392 that divides 56378 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 53, 56, 76, 106, 133, 152, 212, 266, 371, 424, 532, 742, 1007, 1064, 1484, 2014, 2968, 4028, 7049, 8056, 14098, 28196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56378 and 56392. The biggest common factor number is the GCF number.
So the greatest common factor 56378 and 56392 is 14.

Also check out the Least Common Multiple of 56378 and 56392