What is the Greatest Common Factor of 8698 and 8708?

Greatest common factor (GCF) of 8698 and 8708 is 2.

GCF(8698,8708) = 2

We will now calculate the prime factors of 8698 and 8708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8698 and 8708.

How to find the GCF of 8698 and 8708?

We will first find the prime factorization of 8698 and 8708. After we will calculate the factors of 8698 and 8708 and find the biggest common factor number .

Step-1: Prime Factorization of 8698

Prime factors of 8698 are 2, 4349. Prime factorization of 8698 in exponential form is:

8698 = 2¹ × 4349¹

Step-2: Prime Factorization of 8708

Prime factors of 8708 are 2, 7, 311. Prime factorization of 8708 in exponential form is:

8708 = 2² × 7¹ × 311¹

Step-3: Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1, 2, 4349

Step-4: Factors of 8708

List of positive integer factors of 8708 that divides 8698 without a remainder.

1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8698 and 8708. The biggest common factor number is the GCF number.
So the greatest common factor 8698 and 8708 is 2.

Also check out the Least Common Multiple of 8698 and 8708