What is the Greatest Common Factor of 27296 and 27305?

Greatest common factor (GCF) of 27296 and 27305 is 1.

GCF(27296,27305) = 1

We will now calculate the prime factors of 27296 and 27305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27296 and 27305.

How to find the GCF of 27296 and 27305?

We will first find the prime factorization of 27296 and 27305. After we will calculate the factors of 27296 and 27305 and find the biggest common factor number .

Step-1: Prime Factorization of 27296

Prime factors of 27296 are 2, 853. Prime factorization of 27296 in exponential form is:

27296 = 2⁵ × 853¹

Step-2: Prime Factorization of 27305

Prime factors of 27305 are 5, 43, 127. Prime factorization of 27305 in exponential form is:

27305 = 5¹ × 43¹ × 127¹

Step-3: Factors of 27296

List of positive integer factors of 27296 that divides 27296 without a remainder.

1, 2, 4, 8, 16, 32, 853, 1706, 3412, 6824, 13648

Step-4: Factors of 27305

List of positive integer factors of 27305 that divides 27296 without a remainder.

1, 5, 43, 127, 215, 635, 5461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27296 and 27305. The biggest common factor number is the GCF number.
So the greatest common factor 27296 and 27305 is 1.

Also check out the Least Common Multiple of 27296 and 27305