What is the Greatest Common Factor of 55309 and 55329?

Greatest common factor (GCF) of 55309 and 55329 is 1.

GCF(55309,55329) = 1

We will now calculate the prime factors of 55309 and 55329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55309 and 55329.

How to find the GCF of 55309 and 55329?

We will first find the prime factorization of 55309 and 55329. After we will calculate the factors of 55309 and 55329 and find the biggest common factor number .

Step-1: Prime Factorization of 55309

Prime factors of 55309 are 19, 41, 71. Prime factorization of 55309 in exponential form is:

55309 = 19¹ × 41¹ × 71¹

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 55309

List of positive integer factors of 55309 that divides 55309 without a remainder.

1, 19, 41, 71, 779, 1349, 2911

Step-4: Factors of 55329

List of positive integer factors of 55329 that divides 55309 without a remainder.

1, 3, 18443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55309 and 55329. The biggest common factor number is the GCF number.
So the greatest common factor 55309 and 55329 is 1.

Also check out the Least Common Multiple of 55309 and 55329