What is the Greatest Common Factor of 82786 and 82804?

Greatest common factor (GCF) of 82786 and 82804 is 2.

GCF(82786,82804) = 2

We will now calculate the prime factors of 82786 and 82804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82786 and 82804.

How to find the GCF of 82786 and 82804?

We will first find the prime factorization of 82786 and 82804. After we will calculate the factors of 82786 and 82804 and find the biggest common factor number .

Step-1: Prime Factorization of 82786

Prime factors of 82786 are 2, 11, 53, 71. Prime factorization of 82786 in exponential form is:

82786 = 2¹ × 11¹ × 53¹ × 71¹

Step-2: Prime Factorization of 82804

Prime factors of 82804 are 2, 127, 163. Prime factorization of 82804 in exponential form is:

82804 = 2² × 127¹ × 163¹

Step-3: Factors of 82786

List of positive integer factors of 82786 that divides 82786 without a remainder.

1, 2, 11, 22, 53, 71, 106, 142, 583, 781, 1166, 1562, 3763, 7526, 41393

Step-4: Factors of 82804

List of positive integer factors of 82804 that divides 82786 without a remainder.

1, 2, 4, 127, 163, 254, 326, 508, 652, 20701, 41402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82786 and 82804. The biggest common factor number is the GCF number.
So the greatest common factor 82786 and 82804 is 2.

Also check out the Least Common Multiple of 82786 and 82804