What is the Greatest Common Factor of 82684 and 82694?

Greatest common factor (GCF) of 82684 and 82694 is 2.

GCF(82684,82694) = 2

We will now calculate the prime factors of 82684 and 82694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82684 and 82694.

How to find the GCF of 82684 and 82694?

We will first find the prime factorization of 82684 and 82694. After we will calculate the factors of 82684 and 82694 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 82694

Prime factors of 82694 are 2, 173, 239. Prime factorization of 82694 in exponential form is:

82694 = 2¹ × 173¹ × 239¹

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 82694

List of positive integer factors of 82694 that divides 82684 without a remainder.

1, 2, 173, 239, 346, 478, 41347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82684 and 82694. The biggest common factor number is the GCF number.
So the greatest common factor 82684 and 82694 is 2.

Also check out the Least Common Multiple of 82684 and 82694