What is the Greatest Common Factor of 43298 and 43303?

Greatest common factor (GCF) of 43298 and 43303 is 1.

GCF(43298,43303) = 1

We will now calculate the prime factors of 43298 and 43303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43298 and 43303.

How to find the GCF of 43298 and 43303?

We will first find the prime factorization of 43298 and 43303. After we will calculate the factors of 43298 and 43303 and find the biggest common factor number .

Step-1: Prime Factorization of 43298

Prime factors of 43298 are 2, 21649. Prime factorization of 43298 in exponential form is:

43298 = 2¹ × 21649¹

Step-2: Prime Factorization of 43303

Prime factors of 43303 are 13, 3331. Prime factorization of 43303 in exponential form is:

43303 = 13¹ × 3331¹

Step-3: Factors of 43298

List of positive integer factors of 43298 that divides 43298 without a remainder.

1, 2, 21649

Step-4: Factors of 43303

List of positive integer factors of 43303 that divides 43298 without a remainder.

1, 13, 3331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43298 and 43303. The biggest common factor number is the GCF number.
So the greatest common factor 43298 and 43303 is 1.

Also check out the Least Common Multiple of 43298 and 43303