What is the Greatest Common Factor of 82774 and 82784?

Greatest common factor (GCF) of 82774 and 82784 is 2.

GCF(82774,82784) = 2

We will now calculate the prime factors of 82774 and 82784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82774 and 82784.

How to find the GCF of 82774 and 82784?

We will first find the prime factorization of 82774 and 82784. After we will calculate the factors of 82774 and 82784 and find the biggest common factor number .

Step-1: Prime Factorization of 82774

Prime factors of 82774 are 2, 41387. Prime factorization of 82774 in exponential form is:

82774 = 2¹ × 41387¹

Step-2: 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-3: Factors of 82774

List of positive integer factors of 82774 that divides 82774 without a remainder.

1, 2, 41387

Step-4: Factors of 82784

List of positive integer factors of 82784 that divides 82774 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82774 and 82784. The biggest common factor number is the GCF number.
So the greatest common factor 82774 and 82784 is 2.

Also check out the Least Common Multiple of 82774 and 82784