What is the Greatest Common Factor of 27678 and 27693?

Greatest common factor (GCF) of 27678 and 27693 is 3.

GCF(27678,27693) = 3

We will now calculate the prime factors of 27678 and 27693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27678 and 27693.

How to find the GCF of 27678 and 27693?

We will first find the prime factorization of 27678 and 27693. After we will calculate the factors of 27678 and 27693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27693

Prime factors of 27693 are 3, 17, 181. Prime factorization of 27693 in exponential form is:

27693 = 3² × 17¹ × 181¹

Step-3: Factors of 27678

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

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

Step-4: Factors of 27693

List of positive integer factors of 27693 that divides 27678 without a remainder.

1, 3, 9, 17, 51, 153, 181, 543, 1629, 3077, 9231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27678 and 27693. The biggest common factor number is the GCF number.
So the greatest common factor 27678 and 27693 is 3.

Also check out the Least Common Multiple of 27678 and 27693