What is the Greatest Common Factor of 55289 and 55303?

Greatest common factor (GCF) of 55289 and 55303 is 1.

GCF(55289,55303) = 1

We will now calculate the prime factors of 55289 and 55303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55289 and 55303.

How to find the GCF of 55289 and 55303?

We will first find the prime factorization of 55289 and 55303. After we will calculate the factors of 55289 and 55303 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 55303

Prime factors of 55303 are 29, 1907. Prime factorization of 55303 in exponential form is:

55303 = 29¹ × 1907¹

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 55303

List of positive integer factors of 55303 that divides 55289 without a remainder.

1, 29, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55289 and 55303. The biggest common factor number is the GCF number.
So the greatest common factor 55289 and 55303 is 1.

Also check out the Least Common Multiple of 55289 and 55303