What is the Greatest Common Factor of 27698 and 27716?

Greatest common factor (GCF) of 27698 and 27716 is 2.

GCF(27698,27716) = 2

We will now calculate the prime factors of 27698 and 27716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27698 and 27716.

How to find the GCF of 27698 and 27716?

We will first find the prime factorization of 27698 and 27716. After we will calculate the factors of 27698 and 27716 and find the biggest common factor number .

Step-1: Prime Factorization of 27698

Prime factors of 27698 are 2, 11, 1259. Prime factorization of 27698 in exponential form is:

27698 = 2¹ × 11¹ × 1259¹

Step-2: Prime Factorization of 27716

Prime factors of 27716 are 2, 13, 41. Prime factorization of 27716 in exponential form is:

27716 = 2² × 13² × 41¹

Step-3: Factors of 27698

List of positive integer factors of 27698 that divides 27698 without a remainder.

1, 2, 11, 22, 1259, 2518, 13849

Step-4: Factors of 27716

List of positive integer factors of 27716 that divides 27698 without a remainder.

1, 2, 4, 13, 26, 41, 52, 82, 164, 169, 338, 533, 676, 1066, 2132, 6929, 13858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27698 and 27716. The biggest common factor number is the GCF number.
So the greatest common factor 27698 and 27716 is 2.

Also check out the Least Common Multiple of 27698 and 27716