What is the Greatest Common Factor of 27651 and 27663?

Greatest common factor (GCF) of 27651 and 27663 is 3.

GCF(27651,27663) = 3

We will now calculate the prime factors of 27651 and 27663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27651 and 27663.

How to find the GCF of 27651 and 27663?

We will first find the prime factorization of 27651 and 27663. After we will calculate the factors of 27651 and 27663 and find the biggest common factor number .

Step-1: Prime Factorization of 27651

Prime factors of 27651 are 3, 13, 709. Prime factorization of 27651 in exponential form is:

27651 = 3¹ × 13¹ × 709¹

Step-2: Prime Factorization of 27663

Prime factors of 27663 are 3, 9221. Prime factorization of 27663 in exponential form is:

27663 = 3¹ × 9221¹

Step-3: Factors of 27651

List of positive integer factors of 27651 that divides 27651 without a remainder.

1, 3, 13, 39, 709, 2127, 9217

Step-4: Factors of 27663

List of positive integer factors of 27663 that divides 27651 without a remainder.

1, 3, 9221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27651 and 27663. The biggest common factor number is the GCF number.
So the greatest common factor 27651 and 27663 is 3.

Also check out the Least Common Multiple of 27651 and 27663