What is the Greatest Common Factor of 27945 and 27951?

Greatest common factor (GCF) of 27945 and 27951 is 3.

GCF(27945,27951) = 3

We will now calculate the prime factors of 27945 and 27951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27945 and 27951.

How to find the GCF of 27945 and 27951?

We will first find the prime factorization of 27945 and 27951. After we will calculate the factors of 27945 and 27951 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 27951

Prime factors of 27951 are 3, 7, 11. Prime factorization of 27951 in exponential form is:

27951 = 3¹ × 7¹ × 11³

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 27951

List of positive integer factors of 27951 that divides 27945 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27945 and 27951. The biggest common factor number is the GCF number.
So the greatest common factor 27945 and 27951 is 3.

Also check out the Least Common Multiple of 27945 and 27951