What is the Greatest Common Factor of 27945 and 27953?

Greatest common factor (GCF) of 27945 and 27953 is 1.

GCF(27945,27953) = 1

We will now calculate the prime factors of 27945 and 27953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27945 and 27953.

How to find the GCF of 27945 and 27953?

We will first find the prime factorization of 27945 and 27953. After we will calculate the factors of 27945 and 27953 and find the biggest common factor number .

Step-1: Prime Factorization of 27945

Prime factors of 27945 are 3, 5, 23. Prime factorization of 27945 in exponential form is:

27945 = 3⁵ × 5¹ × 23¹

Step-2: Prime Factorization of 27953

Prime factors of 27953 are 27953. Prime factorization of 27953 in exponential form is:

27953 = 27953¹

Step-3: Factors of 27945

List of positive integer factors of 27945 that divides 27945 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 243, 345, 405, 621, 1035, 1215, 1863, 3105, 5589, 9315

Step-4: Factors of 27953

List of positive integer factors of 27953 that divides 27945 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27945 and 27953. The biggest common factor number is the GCF number.
So the greatest common factor 27945 and 27953 is 1.

Also check out the Least Common Multiple of 27945 and 27953