What is the Greatest Common Factor of 27614 and 27634?

Greatest common factor (GCF) of 27614 and 27634 is 2.

GCF(27614,27634) = 2

We will now calculate the prime factors of 27614 and 27634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27614 and 27634.

How to find the GCF of 27614 and 27634?

We will first find the prime factorization of 27614 and 27634. After we will calculate the factors of 27614 and 27634 and find the biggest common factor number .

Step-1: Prime Factorization of 27614

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

27614 = 2¹ × 13807¹

Step-2: Prime Factorization of 27634

Prime factors of 27634 are 2, 41, 337. Prime factorization of 27634 in exponential form is:

27634 = 2¹ × 41¹ × 337¹

Step-3: Factors of 27614

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

1, 2, 13807

Step-4: Factors of 27634

List of positive integer factors of 27634 that divides 27614 without a remainder.

1, 2, 41, 82, 337, 674, 13817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27614 and 27634. The biggest common factor number is the GCF number.
So the greatest common factor 27614 and 27634 is 2.

Also check out the Least Common Multiple of 27614 and 27634