What is the Greatest Common Factor of 27278 and 27298?

Greatest common factor (GCF) of 27278 and 27298 is 2.

GCF(27278,27298) = 2

We will now calculate the prime factors of 27278 and 27298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27278 and 27298.

How to find the GCF of 27278 and 27298?

We will first find the prime factorization of 27278 and 27298. After we will calculate the factors of 27278 and 27298 and find the biggest common factor number .

Step-1: Prime Factorization of 27278

Prime factors of 27278 are 2, 23, 593. Prime factorization of 27278 in exponential form is:

27278 = 2¹ × 23¹ × 593¹

Step-2: Prime Factorization of 27298

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

27298 = 2¹ × 13649¹

Step-3: Factors of 27278

List of positive integer factors of 27278 that divides 27278 without a remainder.

1, 2, 23, 46, 593, 1186, 13639

Step-4: Factors of 27298

List of positive integer factors of 27298 that divides 27278 without a remainder.

1, 2, 13649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27278 and 27298. The biggest common factor number is the GCF number.
So the greatest common factor 27278 and 27298 is 2.

Also check out the Least Common Multiple of 27278 and 27298