What is the Greatest Common Factor of 55298 and 55313?

Greatest common factor (GCF) of 55298 and 55313 is 1.

GCF(55298,55313) = 1

We will now calculate the prime factors of 55298 and 55313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55298 and 55313.

How to find the GCF of 55298 and 55313?

We will first find the prime factorization of 55298 and 55313. After we will calculate the factors of 55298 and 55313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55313

Prime factors of 55313 are 55313. Prime factorization of 55313 in exponential form is:

55313 = 55313¹

Step-3: Factors of 55298

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

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

Step-4: Factors of 55313

List of positive integer factors of 55313 that divides 55298 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55298 and 55313. The biggest common factor number is the GCF number.
So the greatest common factor 55298 and 55313 is 1.

Also check out the Least Common Multiple of 55298 and 55313