What is the Greatest Common Factor of 27658 and 27678?

Greatest common factor (GCF) of 27658 and 27678 is 2.

GCF(27658,27678) = 2

We will now calculate the prime factors of 27658 and 27678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27658 and 27678.

How to find the GCF of 27658 and 27678?

We will first find the prime factorization of 27658 and 27678. After we will calculate the factors of 27658 and 27678 and find the biggest common factor number .

Step-1: Prime Factorization of 27658

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

27658 = 2¹ × 13829¹

Step-2: Prime Factorization of 27678

Prime factors of 27678 are 2, 3, 7, 659. Prime factorization of 27678 in exponential form is:

27678 = 2¹ × 3¹ × 7¹ × 659¹

Step-3: Factors of 27658

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

1, 2, 13829

Step-4: Factors of 27678

List of positive integer factors of 27678 that divides 27658 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 659, 1318, 1977, 3954, 4613, 9226, 13839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27658 and 27678. The biggest common factor number is the GCF number.
So the greatest common factor 27658 and 27678 is 2.

Also check out the Least Common Multiple of 27658 and 27678