What is the Greatest Common Factor of 56329 and 56336?

Greatest common factor (GCF) of 56329 and 56336 is 7.

GCF(56329,56336) = 7

We will now calculate the prime factors of 56329 and 56336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56329 and 56336.

How to find the GCF of 56329 and 56336?

We will first find the prime factorization of 56329 and 56336. After we will calculate the factors of 56329 and 56336 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 56336

Prime factors of 56336 are 2, 7, 503. Prime factorization of 56336 in exponential form is:

56336 = 2⁴ × 7¹ × 503¹

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 56336

List of positive integer factors of 56336 that divides 56329 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 503, 1006, 2012, 3521, 4024, 7042, 8048, 14084, 28168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56329 and 56336. The biggest common factor number is the GCF number.
So the greatest common factor 56329 and 56336 is 7.

Also check out the Least Common Multiple of 56329 and 56336