What is the Greatest Common Factor of 27666 and 27676?

Greatest common factor (GCF) of 27666 and 27676 is 2.

GCF(27666,27676) = 2

We will now calculate the prime factors of 27666 and 27676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27666 and 27676.

How to find the GCF of 27666 and 27676?

We will first find the prime factorization of 27666 and 27676. After we will calculate the factors of 27666 and 27676 and find the biggest common factor number .

Step-1: Prime Factorization of 27666

Prime factors of 27666 are 2, 3, 29, 53. Prime factorization of 27666 in exponential form is:

27666 = 2¹ × 3² × 29¹ × 53¹

Step-2: Prime Factorization of 27676

Prime factors of 27676 are 2, 11, 17, 37. Prime factorization of 27676 in exponential form is:

27676 = 2² × 11¹ × 17¹ × 37¹

Step-3: Factors of 27666

List of positive integer factors of 27666 that divides 27666 without a remainder.

1, 2, 3, 6, 9, 18, 29, 53, 58, 87, 106, 159, 174, 261, 318, 477, 522, 954, 1537, 3074, 4611, 9222, 13833

Step-4: Factors of 27676

List of positive integer factors of 27676 that divides 27666 without a remainder.

1, 2, 4, 11, 17, 22, 34, 37, 44, 68, 74, 148, 187, 374, 407, 629, 748, 814, 1258, 1628, 2516, 6919, 13838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27666 and 27676. The biggest common factor number is the GCF number.
So the greatest common factor 27666 and 27676 is 2.

Also check out the Least Common Multiple of 27666 and 27676