What is the Greatest Common Factor of 27298 and 27306?

Greatest common factor (GCF) of 27298 and 27306 is 2.

GCF(27298,27306) = 2

We will now calculate the prime factors of 27298 and 27306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27298 and 27306.

How to find the GCF of 27298 and 27306?

We will first find the prime factorization of 27298 and 27306. After we will calculate the factors of 27298 and 27306 and find the biggest common factor number .

Step-1: Prime Factorization of 27298

Prime factors of 27298 are 2, 13649. Prime factorization of 27298 in exponential form is:

27298 = 2¹ × 13649¹

Step-2: Prime Factorization of 27306

Prime factors of 27306 are 2, 3, 37, 41. Prime factorization of 27306 in exponential form is:

27306 = 2¹ × 3² × 37¹ × 41¹

Step-3: Factors of 27298

List of positive integer factors of 27298 that divides 27298 without a remainder.

1, 2, 13649

Step-4: Factors of 27306

List of positive integer factors of 27306 that divides 27298 without a remainder.

1, 2, 3, 6, 9, 18, 37, 41, 74, 82, 111, 123, 222, 246, 333, 369, 666, 738, 1517, 3034, 4551, 9102, 13653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27298 and 27306. The biggest common factor number is the GCF number.
So the greatest common factor 27298 and 27306 is 2.

Also check out the Least Common Multiple of 27298 and 27306