What is the Greatest Common Factor of 56337 and 56343?

Greatest common factor (GCF) of 56337 and 56343 is 3.

GCF(56337,56343) = 3

We will now calculate the prime factors of 56337 and 56343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56337 and 56343.

How to find the GCF of 56337 and 56343?

We will first find the prime factorization of 56337 and 56343. After we will calculate the factors of 56337 and 56343 and find the biggest common factor number .

Step-1: Prime Factorization of 56337

Prime factors of 56337 are 3, 89, 211. Prime factorization of 56337 in exponential form is:

56337 = 3¹ × 89¹ × 211¹

Step-2: Prime Factorization of 56343

Prime factors of 56343 are 3, 7, 2683. Prime factorization of 56343 in exponential form is:

56343 = 3¹ × 7¹ × 2683¹

Step-3: Factors of 56337

List of positive integer factors of 56337 that divides 56337 without a remainder.

1, 3, 89, 211, 267, 633, 18779

Step-4: Factors of 56343

List of positive integer factors of 56343 that divides 56337 without a remainder.

1, 3, 7, 21, 2683, 8049, 18781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56337 and 56343. The biggest common factor number is the GCF number.
So the greatest common factor 56337 and 56343 is 3.

Also check out the Least Common Multiple of 56337 and 56343