What is the Greatest Common Factor of 27295 and 27307?

Greatest common factor (GCF) of 27295 and 27307 is 1.

GCF(27295,27307) = 1

We will now calculate the prime factors of 27295 and 27307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27295 and 27307.

How to find the GCF of 27295 and 27307?

We will first find the prime factorization of 27295 and 27307. After we will calculate the factors of 27295 and 27307 and find the biggest common factor number .

Step-1: Prime Factorization of 27295

Prime factors of 27295 are 5, 53, 103. Prime factorization of 27295 in exponential form is:

27295 = 5¹ × 53¹ × 103¹

Step-2: Prime Factorization of 27307

Prime factors of 27307 are 7, 47, 83. Prime factorization of 27307 in exponential form is:

27307 = 7¹ × 47¹ × 83¹

Step-3: Factors of 27295

List of positive integer factors of 27295 that divides 27295 without a remainder.

1, 5, 53, 103, 265, 515, 5459

Step-4: Factors of 27307

List of positive integer factors of 27307 that divides 27295 without a remainder.

1, 7, 47, 83, 329, 581, 3901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27295 and 27307. The biggest common factor number is the GCF number.
So the greatest common factor 27295 and 27307 is 1.

Also check out the Least Common Multiple of 27295 and 27307