What is the Greatest Common Factor of 27698 and 27707?

Greatest common factor (GCF) of 27698 and 27707 is 1.

GCF(27698,27707) = 1

We will now calculate the prime factors of 27698 and 27707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27698 and 27707.

How to find the GCF of 27698 and 27707?

We will first find the prime factorization of 27698 and 27707. After we will calculate the factors of 27698 and 27707 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 27707

Prime factors of 27707 are 103, 269. Prime factorization of 27707 in exponential form is:

27707 = 103¹ × 269¹

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 27707

List of positive integer factors of 27707 that divides 27698 without a remainder.

1, 103, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27698 and 27707. The biggest common factor number is the GCF number.
So the greatest common factor 27698 and 27707 is 1.

Also check out the Least Common Multiple of 27698 and 27707