What is the Greatest Common Factor of 55289 and 55305?

Greatest common factor (GCF) of 55289 and 55305 is 1.

GCF(55289,55305) = 1

We will now calculate the prime factors of 55289 and 55305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55289 and 55305.

How to find the GCF of 55289 and 55305?

We will first find the prime factorization of 55289 and 55305. After we will calculate the factors of 55289 and 55305 and find the biggest common factor number .

Step-1: Prime Factorization of 55289

Prime factors of 55289 are 13, 4253. Prime factorization of 55289 in exponential form is:

55289 = 13¹ × 4253¹

Step-2: Prime Factorization of 55305

Prime factors of 55305 are 3, 5, 1229. Prime factorization of 55305 in exponential form is:

55305 = 3² × 5¹ × 1229¹

Step-3: Factors of 55289

List of positive integer factors of 55289 that divides 55289 without a remainder.

1, 13, 4253

Step-4: Factors of 55305

List of positive integer factors of 55305 that divides 55289 without a remainder.

1, 3, 5, 9, 15, 45, 1229, 3687, 6145, 11061, 18435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55289 and 55305. The biggest common factor number is the GCF number.
So the greatest common factor 55289 and 55305 is 1.

Also check out the Least Common Multiple of 55289 and 55305