What is the Greatest Common Factor of 27648 and 27665?

Greatest common factor (GCF) of 27648 and 27665 is 1.

GCF(27648,27665) = 1

We will now calculate the prime factors of 27648 and 27665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27648 and 27665.

How to find the GCF of 27648 and 27665?

We will first find the prime factorization of 27648 and 27665. After we will calculate the factors of 27648 and 27665 and find the biggest common factor number .

Step-1: Prime Factorization of 27648

Prime factors of 27648 are 2, 3. Prime factorization of 27648 in exponential form is:

27648 = 2¹⁰ × 3³

Step-2: Prime Factorization of 27665

Prime factors of 27665 are 5, 11, 503. Prime factorization of 27665 in exponential form is:

27665 = 5¹ × 11¹ × 503¹

Step-3: Factors of 27648

List of positive integer factors of 27648 that divides 27648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 512, 576, 768, 864, 1024, 1152, 1536, 1728, 2304, 3072, 3456, 4608, 6912, 9216, 13824

Step-4: Factors of 27665

List of positive integer factors of 27665 that divides 27648 without a remainder.

1, 5, 11, 55, 503, 2515, 5533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27648 and 27665. The biggest common factor number is the GCF number.
So the greatest common factor 27648 and 27665 is 1.

Also check out the Least Common Multiple of 27648 and 27665