What is the Greatest Common Factor of 56392 and 56396?

Greatest common factor (GCF) of 56392 and 56396 is 4.

GCF(56392,56396) = 4

We will now calculate the prime factors of 56392 and 56396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56392 and 56396.

How to find the GCF of 56392 and 56396?

We will first find the prime factorization of 56392 and 56396. After we will calculate the factors of 56392 and 56396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56396

Prime factors of 56396 are 2, 23, 613. Prime factorization of 56396 in exponential form is:

56396 = 2² × 23¹ × 613¹

Step-3: Factors of 56392

List of positive integer factors of 56392 that divides 56392 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

Step-4: Factors of 56396

List of positive integer factors of 56396 that divides 56392 without a remainder.

1, 2, 4, 23, 46, 92, 613, 1226, 2452, 14099, 28198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56392 and 56396. The biggest common factor number is the GCF number.
So the greatest common factor 56392 and 56396 is 4.

Also check out the Least Common Multiple of 56392 and 56396