What is the Greatest Common Factor of 27260 and 27278?

Greatest common factor (GCF) of 27260 and 27278 is 2.

GCF(27260,27278) = 2

We will now calculate the prime factors of 27260 and 27278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27260 and 27278.

How to find the GCF of 27260 and 27278?

We will first find the prime factorization of 27260 and 27278. After we will calculate the factors of 27260 and 27278 and find the biggest common factor number .

Step-1: Prime Factorization of 27260

Prime factors of 27260 are 2, 5, 29, 47. Prime factorization of 27260 in exponential form is:

27260 = 2² × 5¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 27260

List of positive integer factors of 27260 that divides 27260 without a remainder.

1, 2, 4, 5, 10, 20, 29, 47, 58, 94, 116, 145, 188, 235, 290, 470, 580, 940, 1363, 2726, 5452, 6815, 13630

Step-4: Factors of 27278

List of positive integer factors of 27278 that divides 27260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27260 and 27278. The biggest common factor number is the GCF number.
So the greatest common factor 27260 and 27278 is 2.

Also check out the Least Common Multiple of 27260 and 27278