What is the Greatest Common Factor of 82784 and 82790?

Greatest common factor (GCF) of 82784 and 82790 is 2.

GCF(82784,82790) = 2

We will now calculate the prime factors of 82784 and 82790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82784 and 82790.

How to find the GCF of 82784 and 82790?

We will first find the prime factorization of 82784 and 82790. After we will calculate the factors of 82784 and 82790 and find the biggest common factor number .

Step-1: Prime Factorization of 82784

Prime factors of 82784 are 2, 13, 199. Prime factorization of 82784 in exponential form is:

82784 = 2⁵ × 13¹ × 199¹

Step-2: Prime Factorization of 82790

Prime factors of 82790 are 2, 5, 17, 487. Prime factorization of 82790 in exponential form is:

82790 = 2¹ × 5¹ × 17¹ × 487¹

Step-3: Factors of 82784

List of positive integer factors of 82784 that divides 82784 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 199, 208, 398, 416, 796, 1592, 2587, 3184, 5174, 6368, 10348, 20696, 41392

Step-4: Factors of 82790

List of positive integer factors of 82790 that divides 82784 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 487, 974, 2435, 4870, 8279, 16558, 41395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82784 and 82790. The biggest common factor number is the GCF number.
So the greatest common factor 82784 and 82790 is 2.

Also check out the Least Common Multiple of 82784 and 82790