What is the Greatest Common Factor of 55289 and 55298?

Greatest common factor (GCF) of 55289 and 55298 is 1.

GCF(55289,55298) = 1

We will now calculate the prime factors of 55289 and 55298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55289 and 55298.

How to find the GCF of 55289 and 55298?

We will first find the prime factorization of 55289 and 55298. After we will calculate the factors of 55289 and 55298 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 55298

Prime factors of 55298 are 2, 43, 643. Prime factorization of 55298 in exponential form is:

55298 = 2¹ × 43¹ × 643¹

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 55298

List of positive integer factors of 55298 that divides 55289 without a remainder.

1, 2, 43, 86, 643, 1286, 27649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55289 and 55298. The biggest common factor number is the GCF number.
So the greatest common factor 55289 and 55298 is 1.

Also check out the Least Common Multiple of 55289 and 55298