What is the Greatest Common Factor of 65682 and 65698?

Greatest common factor (GCF) of 65682 and 65698 is 2.

GCF(65682,65698) = 2

We will now calculate the prime factors of 65682 and 65698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65682 and 65698.

How to find the GCF of 65682 and 65698?

We will first find the prime factorization of 65682 and 65698. After we will calculate the factors of 65682 and 65698 and find the biggest common factor number .

Step-1: Prime Factorization of 65682

Prime factors of 65682 are 2, 3, 41, 89. Prime factorization of 65682 in exponential form is:

65682 = 2¹ × 3² × 41¹ × 89¹

Step-2: Prime Factorization of 65698

Prime factors of 65698 are 2, 107, 307. Prime factorization of 65698 in exponential form is:

65698 = 2¹ × 107¹ × 307¹

Step-3: Factors of 65682

List of positive integer factors of 65682 that divides 65682 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 89, 123, 178, 246, 267, 369, 534, 738, 801, 1602, 3649, 7298, 10947, 21894, 32841

Step-4: Factors of 65698

List of positive integer factors of 65698 that divides 65682 without a remainder.

1, 2, 107, 214, 307, 614, 32849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65682 and 65698. The biggest common factor number is the GCF number.
So the greatest common factor 65682 and 65698 is 2.

Also check out the Least Common Multiple of 65682 and 65698