What is the Greatest Common Factor of 55269 and 55289?

Greatest common factor (GCF) of 55269 and 55289 is 1.

GCF(55269,55289) = 1

We will now calculate the prime factors of 55269 and 55289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55269 and 55289.

How to find the GCF of 55269 and 55289?

We will first find the prime factorization of 55269 and 55289. After we will calculate the factors of 55269 and 55289 and find the biggest common factor number .

Step-1: Prime Factorization of 55269

Prime factors of 55269 are 3, 23, 89. Prime factorization of 55269 in exponential form is:

55269 = 3³ × 23¹ × 89¹

Step-2: Prime Factorization of 55289

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

55289 = 13¹ × 4253¹

Step-3: Factors of 55269

List of positive integer factors of 55269 that divides 55269 without a remainder.

1, 3, 9, 23, 27, 69, 89, 207, 267, 621, 801, 2047, 2403, 6141, 18423

Step-4: Factors of 55289

List of positive integer factors of 55289 that divides 55269 without a remainder.

1, 13, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55269 and 55289. The biggest common factor number is the GCF number.
So the greatest common factor 55269 and 55289 is 1.

Also check out the Least Common Multiple of 55269 and 55289