What is the Greatest Common Factor of 27654 and 27672?

Greatest common factor (GCF) of 27654 and 27672 is 6.

GCF(27654,27672) = 6

We will now calculate the prime factors of 27654 and 27672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27654 and 27672.

How to find the GCF of 27654 and 27672?

We will first find the prime factorization of 27654 and 27672. After we will calculate the factors of 27654 and 27672 and find the biggest common factor number .

Step-1: Prime Factorization of 27654

Prime factors of 27654 are 2, 3, 11, 419. Prime factorization of 27654 in exponential form is:

27654 = 2¹ × 3¹ × 11¹ × 419¹

Step-2: Prime Factorization of 27672

Prime factors of 27672 are 2, 3, 1153. Prime factorization of 27672 in exponential form is:

27672 = 2³ × 3¹ × 1153¹

Step-3: Factors of 27654

List of positive integer factors of 27654 that divides 27654 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 419, 838, 1257, 2514, 4609, 9218, 13827

Step-4: Factors of 27672

List of positive integer factors of 27672 that divides 27654 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1153, 2306, 3459, 4612, 6918, 9224, 13836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27654 and 27672. The biggest common factor number is the GCF number.
So the greatest common factor 27654 and 27672 is 6.

Also check out the Least Common Multiple of 27654 and 27672