What is the Greatest Common Factor of 55319 and 55329?

Greatest common factor (GCF) of 55319 and 55329 is 1.

GCF(55319,55329) = 1

We will now calculate the prime factors of 55319 and 55329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55319 and 55329.

How to find the GCF of 55319 and 55329?

We will first find the prime factorization of 55319 and 55329. After we will calculate the factors of 55319 and 55329 and find the biggest common factor number .

Step-1: Prime Factorization of 55319

Prime factors of 55319 are 11, 47, 107. Prime factorization of 55319 in exponential form is:

55319 = 11¹ × 47¹ × 107¹

Step-2: Prime Factorization of 55329

Prime factors of 55329 are 3, 18443. Prime factorization of 55329 in exponential form is:

55329 = 3¹ × 18443¹

Step-3: Factors of 55319

List of positive integer factors of 55319 that divides 55319 without a remainder.

1, 11, 47, 107, 517, 1177, 5029

Step-4: Factors of 55329

List of positive integer factors of 55329 that divides 55319 without a remainder.

1, 3, 18443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55319 and 55329. The biggest common factor number is the GCF number.
So the greatest common factor 55319 and 55329 is 1.

Also check out the Least Common Multiple of 55319 and 55329