What is the Greatest Common Factor of 68796 and 68809?

Greatest common factor (GCF) of 68796 and 68809 is 13.

GCF(68796,68809) = 13

We will now calculate the prime factors of 68796 and 68809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68796 and 68809.

How to find the GCF of 68796 and 68809?

We will first find the prime factorization of 68796 and 68809. After we will calculate the factors of 68796 and 68809 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68809

Prime factors of 68809 are 13, 67, 79. Prime factorization of 68809 in exponential form is:

68809 = 13¹ × 67¹ × 79¹

Step-3: Factors of 68796

List of positive integer factors of 68796 that divides 68796 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

Step-4: Factors of 68809

List of positive integer factors of 68809 that divides 68796 without a remainder.

1, 13, 67, 79, 871, 1027, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68796 and 68809. The biggest common factor number is the GCF number.
So the greatest common factor 68796 and 68809 is 13.

Also check out the Least Common Multiple of 68796 and 68809