Greatest Common Factor of 68789 and 68796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 68789, 68796 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 68789 and 68796 is 7.

GCF(68789,68796) = 7

GCF of 68789 and 68796

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 68789 and 68796

GCF of 68789 and 68796 is 7

Prime Factorization of 68789


7 68789
31 9827
317 317
1

Prime factors of 68789 are 7,31,317. Prime factorization of 68789 in exponential form is:

68789 = 71×311×3171

Prime Factorization of 68796


2 68796
2 34398
3 17199
3 5733
3 1911
7 637
7 91
13 13
1

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

68796 = 22×33×72×131

∴ So by taking common prime factors GCF of 68789 and 68796 is 7

Greatest Common Factor of 68789 and 68796 by matching factors method

Factors of 68789

List of positive integer factors of 68789 that divides 68789 without a remainder.

1,7,31,217,317,2219,9827,68789

Factors of 68796

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

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,49,52,54,63,78,84,91,98,108,117,126,147,156,182,189,196,234,252,273,294,351,364,378,441,468,546,588,637,702,756,819,882,1092,1274,1323,1404,1638,1764,1911,2457,2548,2646,3276,3822,4914,5292,5733,7644,9828,11466,17199,22932,34398,68796

Greatest Common Factor

We found the factors and prime factorization of 68789 and 68796. The biggest common factor number is the GCF number.
So the greatest common factor 68789 and 68796 is 7.

Also check out the Least Common Multiple of 68789 and 68796

Properties of GCF 68789 and 68796

(i) The GCF of 68789 and 68796 is associative

GCF of 68789 and 68796 = GCF of 68796 and 68789

Related Greatest Common Factor of 68789

Related Greatest Common Factor of 68796

Frequently Asked Questions on GCF of 68789 and 68796

1. What is the GCF of 68789 and 68796?

Answer: GCF of 68789 and 68796 is 7.

2. What are the Factors of 68789?

Answer: Factors of 68789 are 1, 7, 31, 217, 317, 2219, 9827, 68789. There are 8 integers that are factors of 68789. The greatest factor of 68789 is 68789.

3. What are the Factors of 68796?

Answer: Factors of 68796 are 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, 68796. There are 72 integers that are factors of 68796. The greatest factor of 68796 is 68796.

4. How to Find the GCF of 68789 and 68796?

Answer:

Greatest Common Factor of 68789 and 68796 = 7

Step 1: Find the prime factorization of 68789

68789 = 7 x 31 x 317

Step 2: Find the prime factorization of 68796

68796 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 68789 and 68796 is 7