What is the Greatest Common Factor of 27654 and 27658?

Greatest common factor (GCF) of 27654 and 27658 is 2.

GCF(27654,27658) = 2

We will now calculate the prime factors of 27654 and 27658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27654 and 27658.

How to find the GCF of 27654 and 27658?

We will first find the prime factorization of 27654 and 27658. After we will calculate the factors of 27654 and 27658 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 27658

Prime factors of 27658 are 2, 13829. Prime factorization of 27658 in exponential form is:

27658 = 2¹ × 13829¹

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 27658

List of positive integer factors of 27658 that divides 27654 without a remainder.

1, 2, 13829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27654 and 27658. The biggest common factor number is the GCF number.
So the greatest common factor 27654 and 27658 is 2.

Also check out the Least Common Multiple of 27654 and 27658