What is the Greatest Common Factor of 27606 and 27614?

Greatest common factor (GCF) of 27606 and 27614 is 2.

GCF(27606,27614) = 2

We will now calculate the prime factors of 27606 and 27614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27606 and 27614.

How to find the GCF of 27606 and 27614?

We will first find the prime factorization of 27606 and 27614. After we will calculate the factors of 27606 and 27614 and find the biggest common factor number .

Step-1: Prime Factorization of 27606

Prime factors of 27606 are 2, 3, 43, 107. Prime factorization of 27606 in exponential form is:

27606 = 2¹ × 3¹ × 43¹ × 107¹

Step-2: Prime Factorization of 27614

Prime factors of 27614 are 2, 13807. Prime factorization of 27614 in exponential form is:

27614 = 2¹ × 13807¹

Step-3: Factors of 27606

List of positive integer factors of 27606 that divides 27606 without a remainder.

1, 2, 3, 6, 43, 86, 107, 129, 214, 258, 321, 642, 4601, 9202, 13803

Step-4: Factors of 27614

List of positive integer factors of 27614 that divides 27606 without a remainder.

1, 2, 13807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27606 and 27614. The biggest common factor number is the GCF number.
So the greatest common factor 27606 and 27614 is 2.

Also check out the Least Common Multiple of 27606 and 27614