What is the Greatest Common Factor of 56343 and 56357?

Greatest common factor (GCF) of 56343 and 56357 is 7.

GCF(56343,56357) = 7

We will now calculate the prime factors of 56343 and 56357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56343 and 56357.

How to find the GCF of 56343 and 56357?

We will first find the prime factorization of 56343 and 56357. After we will calculate the factors of 56343 and 56357 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56357

Prime factors of 56357 are 7, 83, 97. Prime factorization of 56357 in exponential form is:

56357 = 7¹ × 83¹ × 97¹

Step-3: Factors of 56343

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

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

Step-4: Factors of 56357

List of positive integer factors of 56357 that divides 56343 without a remainder.

1, 7, 83, 97, 581, 679, 8051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56343 and 56357. The biggest common factor number is the GCF number.
So the greatest common factor 56343 and 56357 is 7.

Also check out the Least Common Multiple of 56343 and 56357