What is the Greatest Common Factor of 27951 and 27963?

Greatest common factor (GCF) of 27951 and 27963 is 3.

GCF(27951,27963) = 3

We will now calculate the prime factors of 27951 and 27963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27951 and 27963.

How to find the GCF of 27951 and 27963?

We will first find the prime factorization of 27951 and 27963. After we will calculate the factors of 27951 and 27963 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27963

Prime factors of 27963 are 3, 13, 239. Prime factorization of 27963 in exponential form is:

27963 = 3² × 13¹ × 239¹

Step-3: Factors of 27951

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

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

Step-4: Factors of 27963

List of positive integer factors of 27963 that divides 27951 without a remainder.

1, 3, 9, 13, 39, 117, 239, 717, 2151, 3107, 9321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27951 and 27963. The biggest common factor number is the GCF number.
So the greatest common factor 27951 and 27963 is 3.

Also check out the Least Common Multiple of 27951 and 27963