What is the Greatest Common Factor of 56315 and 56329?

Greatest common factor (GCF) of 56315 and 56329 is 7.

GCF(56315,56329) = 7

We will now calculate the prime factors of 56315 and 56329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56315 and 56329.

How to find the GCF of 56315 and 56329?

We will first find the prime factorization of 56315 and 56329. After we will calculate the factors of 56315 and 56329 and find the biggest common factor number .

Step-1: Prime Factorization of 56315

Prime factors of 56315 are 5, 7, 1609. Prime factorization of 56315 in exponential form is:

56315 = 5¹ × 7¹ × 1609¹

Step-2: 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-3: Factors of 56315

List of positive integer factors of 56315 that divides 56315 without a remainder.

1, 5, 7, 35, 1609, 8045, 11263

Step-4: Factors of 56329

List of positive integer factors of 56329 that divides 56315 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56315 and 56329. The biggest common factor number is the GCF number.
So the greatest common factor 56315 and 56329 is 7.

Also check out the Least Common Multiple of 56315 and 56329