What is the Greatest Common Factor of 82768 and 82782?

Greatest common factor (GCF) of 82768 and 82782 is 14.

GCF(82768,82782) = 14

We will now calculate the prime factors of 82768 and 82782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82768 and 82782.

How to find the GCF of 82768 and 82782?

We will first find the prime factorization of 82768 and 82782. After we will calculate the factors of 82768 and 82782 and find the biggest common factor number .

Step-1: Prime Factorization of 82768

Prime factors of 82768 are 2, 7, 739. Prime factorization of 82768 in exponential form is:

82768 = 2⁴ × 7¹ × 739¹

Step-2: 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-3: Factors of 82768

List of positive integer factors of 82768 that divides 82768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 739, 1478, 2956, 5173, 5912, 10346, 11824, 20692, 41384

Step-4: Factors of 82782

List of positive integer factors of 82782 that divides 82768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82768 and 82782. The biggest common factor number is the GCF number.
So the greatest common factor 82768 and 82782 is 14.

Also check out the Least Common Multiple of 82768 and 82782