What is the Greatest Common Factor of 8698 and 8710?

Greatest common factor (GCF) of 8698 and 8710 is 2.

GCF(8698,8710) = 2

We will now calculate the prime factors of 8698 and 8710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8698 and 8710.

How to find the GCF of 8698 and 8710?

We will first find the prime factorization of 8698 and 8710. After we will calculate the factors of 8698 and 8710 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 8710

Prime factors of 8710 are 2, 5, 13, 67. Prime factorization of 8710 in exponential form is:

8710 = 2¹ × 5¹ × 13¹ × 67¹

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 8710

List of positive integer factors of 8710 that divides 8698 without a remainder.

1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8698 and 8710. The biggest common factor number is the GCF number.
So the greatest common factor 8698 and 8710 is 2.

Also check out the Least Common Multiple of 8698 and 8710