What is the Greatest Common Factor of 27278 and 27294?

Greatest common factor (GCF) of 27278 and 27294 is 2.

GCF(27278,27294) = 2

We will now calculate the prime factors of 27278 and 27294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27278 and 27294.

How to find the GCF of 27278 and 27294?

We will first find the prime factorization of 27278 and 27294. After we will calculate the factors of 27278 and 27294 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 27294

Prime factors of 27294 are 2, 3, 4549. Prime factorization of 27294 in exponential form is:

27294 = 2¹ × 3¹ × 4549¹

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 27294

List of positive integer factors of 27294 that divides 27278 without a remainder.

1, 2, 3, 6, 4549, 9098, 13647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27278 and 27294. The biggest common factor number is the GCF number.
So the greatest common factor 27278 and 27294 is 2.

Also check out the Least Common Multiple of 27278 and 27294