What is the Greatest Common Factor of 56329 and 56343?

Greatest common factor (GCF) of 56329 and 56343 is 7.

GCF(56329,56343) = 7

We will now calculate the prime factors of 56329 and 56343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56329 and 56343.

How to find the GCF of 56329 and 56343?

We will first find the prime factorization of 56329 and 56343. After we will calculate the factors of 56329 and 56343 and find the biggest common factor number .

Step-1: Prime Factorization of 56329

Prime factors of 56329 are 7, 13, 619. Prime factorization of 56329 in exponential form is:

56329 = 7¹ × 13¹ × 619¹

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 56329

List of positive integer factors of 56329 that divides 56329 without a remainder.

1, 7, 13, 91, 619, 4333, 8047

Step-4: Factors of 56343

List of positive integer factors of 56343 that divides 56329 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56329 and 56343. The biggest common factor number is the GCF number.
So the greatest common factor 56329 and 56343 is 7.

Also check out the Least Common Multiple of 56329 and 56343