What is the Greatest Common Factor of 27698 and 27710?

Greatest common factor (GCF) of 27698 and 27710 is 2.

GCF(27698,27710) = 2

We will now calculate the prime factors of 27698 and 27710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27698 and 27710.

How to find the GCF of 27698 and 27710?

We will first find the prime factorization of 27698 and 27710. After we will calculate the factors of 27698 and 27710 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 27710

Prime factors of 27710 are 2, 5, 17, 163. Prime factorization of 27710 in exponential form is:

27710 = 2¹ × 5¹ × 17¹ × 163¹

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 27710

List of positive integer factors of 27710 that divides 27698 without a remainder.

1, 2, 5, 10, 17, 34, 85, 163, 170, 326, 815, 1630, 2771, 5542, 13855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27698 and 27710. The biggest common factor number is the GCF number.
So the greatest common factor 27698 and 27710 is 2.

Also check out the Least Common Multiple of 27698 and 27710