What is the Greatest Common Factor of 82684 and 82704?

Greatest common factor (GCF) of 82684 and 82704 is 4.

GCF(82684,82704) = 4

We will now calculate the prime factors of 82684 and 82704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82684 and 82704.

How to find the GCF of 82684 and 82704?

We will first find the prime factorization of 82684 and 82704. After we will calculate the factors of 82684 and 82704 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 82704

Prime factors of 82704 are 2, 3, 1723. Prime factorization of 82704 in exponential form is:

82704 = 2⁴ × 3¹ × 1723¹

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 82704

List of positive integer factors of 82704 that divides 82684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1723, 3446, 5169, 6892, 10338, 13784, 20676, 27568, 41352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82684 and 82704. The biggest common factor number is the GCF number.
So the greatest common factor 82684 and 82704 is 4.

Also check out the Least Common Multiple of 82684 and 82704