What is the Greatest Common Factor of 82684 and 82698?

Greatest common factor (GCF) of 82684 and 82698 is 14.

GCF(82684,82698) = 14

We will now calculate the prime factors of 82684 and 82698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82684 and 82698.

How to find the GCF of 82684 and 82698?

We will first find the prime factorization of 82684 and 82698. After we will calculate the factors of 82684 and 82698 and find the biggest common factor number .

Step-1: Prime Factorization of 82684

Prime factors of 82684 are 2, 7, 2953. Prime factorization of 82684 in exponential form is:

82684 = 2² × 7¹ × 2953¹

Step-2: Prime Factorization of 82698

Prime factors of 82698 are 2, 3, 7, 11, 179. Prime factorization of 82698 in exponential form is:

82698 = 2¹ × 3¹ × 7¹ × 11¹ × 179¹

Step-3: Factors of 82684

List of positive integer factors of 82684 that divides 82684 without a remainder.

1, 2, 4, 7, 14, 28, 2953, 5906, 11812, 20671, 41342

Step-4: Factors of 82698

List of positive integer factors of 82698 that divides 82684 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 179, 231, 358, 462, 537, 1074, 1253, 1969, 2506, 3759, 3938, 5907, 7518, 11814, 13783, 27566, 41349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82684 and 82698. The biggest common factor number is the GCF number.
So the greatest common factor 82684 and 82698 is 14.

Also check out the Least Common Multiple of 82684 and 82698