What is the Greatest Common Factor of 68784 and 68796?

Greatest common factor (GCF) of 68784 and 68796 is 12.

GCF(68784,68796) = 12

We will now calculate the prime factors of 68784 and 68796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68784 and 68796.

How to find the GCF of 68784 and 68796?

We will first find the prime factorization of 68784 and 68796. After we will calculate the factors of 68784 and 68796 and find the biggest common factor number .

Step-1: Prime Factorization of 68784

Prime factors of 68784 are 2, 3, 1433. Prime factorization of 68784 in exponential form is:

68784 = 2⁴ × 3¹ × 1433¹

Step-2: Prime Factorization of 68796

Prime factors of 68796 are 2, 3, 7, 13. Prime factorization of 68796 in exponential form is:

68796 = 2² × 3³ × 7² × 13¹

Step-3: Factors of 68784

List of positive integer factors of 68784 that divides 68784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1433, 2866, 4299, 5732, 8598, 11464, 17196, 22928, 34392

Step-4: Factors of 68796

List of positive integer factors of 68796 that divides 68784 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 49, 52, 54, 63, 78, 84, 91, 98, 108, 117, 126, 147, 156, 182, 189, 196, 234, 252, 273, 294, 351, 364, 378, 441, 468, 546, 588, 637, 702, 756, 819, 882, 1092, 1274, 1323, 1404, 1638, 1764, 1911, 2457, 2548, 2646, 3276, 3822, 4914, 5292, 5733, 7644, 9828, 11466, 17199, 22932, 34398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68784 and 68796. The biggest common factor number is the GCF number.
So the greatest common factor 68784 and 68796 is 12.

Also check out the Least Common Multiple of 68784 and 68796