What is the Greatest Common Factor of 82782 and 82786?

Greatest common factor (GCF) of 82782 and 82786 is 2.

GCF(82782,82786) = 2

We will now calculate the prime factors of 82782 and 82786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82782 and 82786.

How to find the GCF of 82782 and 82786?

We will first find the prime factorization of 82782 and 82786. After we will calculate the factors of 82782 and 82786 and find the biggest common factor number .

Step-1: Prime Factorization of 82782

Prime factors of 82782 are 2, 3, 7, 73. Prime factorization of 82782 in exponential form is:

82782 = 2¹ × 3⁴ × 7¹ × 73¹

Step-2: 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-3: Factors of 82782

List of positive integer factors of 82782 that divides 82782 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 73, 81, 126, 146, 162, 189, 219, 378, 438, 511, 567, 657, 1022, 1134, 1314, 1533, 1971, 3066, 3942, 4599, 5913, 9198, 11826, 13797, 27594, 41391

Step-4: Factors of 82786

List of positive integer factors of 82786 that divides 82782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82782 and 82786. The biggest common factor number is the GCF number.
So the greatest common factor 82782 and 82786 is 2.

Also check out the Least Common Multiple of 82782 and 82786