What is the Greatest Common Factor of 82784 and 82791?

Greatest common factor (GCF) of 82784 and 82791 is 1.

GCF(82784,82791) = 1

We will now calculate the prime factors of 82784 and 82791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82784 and 82791.

How to find the GCF of 82784 and 82791?

We will first find the prime factorization of 82784 and 82791. After we will calculate the factors of 82784 and 82791 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 82791

Prime factors of 82791 are 3, 9199. Prime factorization of 82791 in exponential form is:

82791 = 3² × 9199¹

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 82791

List of positive integer factors of 82791 that divides 82784 without a remainder.

1, 3, 9, 9199, 27597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82784 and 82791. The biggest common factor number is the GCF number.
So the greatest common factor 82784 and 82791 is 1.

Also check out the Least Common Multiple of 82784 and 82791