Greatest Common Factor of 68782 and 68789

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 68782, 68789 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 68782 and 68789 is 7.

GCF(68782,68789) = 7

GCF of 68782 and 68789

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

GCF of:
and

Greatest Common Factor of 68782 and 68789

GCF of 68782 and 68789 is 7

Prime Factorization of 68782


2 68782
7 34391
17 4913
17 289
17 17
1

Prime factors of 68782 are 2,7,17. Prime factorization of 68782 in exponential form is:

68782 = 21×71×173

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

∴ So by taking common prime factors GCF of 68782 and 68789 is 7

Greatest Common Factor of 68782 and 68789 by matching factors method

Factors of 68782

List of positive integer factors of 68782 that divides 68782 without a remainder.

1,2,7,14,17,34,119,238,289,578,2023,4046,4913,9826,34391,68782

Factors of 68789

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

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

Greatest Common Factor

We found the factors and prime factorization of 68782 and 68789. The biggest common factor number is the GCF number.
So the greatest common factor 68782 and 68789 is 7.

Also check out the Least Common Multiple of 68782 and 68789

Properties of GCF 68782 and 68789

(i) The GCF of 68782 and 68789 is associative

GCF of 68782 and 68789 = GCF of 68789 and 68782

Related Greatest Common Factor of 68782

Related Greatest Common Factor of 68789

Frequently Asked Questions on GCF of 68782 and 68789

1. What is the GCF of 68782 and 68789?

Answer: GCF of 68782 and 68789 is 7.

2. What are the Factors of 68782?

Answer: Factors of 68782 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391, 68782. There are 16 integers that are factors of 68782. The greatest factor of 68782 is 68782.

3. 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.

4. How to Find the GCF of 68782 and 68789?

Answer:

Greatest Common Factor of 68782 and 68789 = 7

Step 1: Find the prime factorization of 68782

68782 = 2 x 7 x 17 x 17 x 17

Step 2: Find the prime factorization of 68789

68789 = 7 x 31 x 317

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 68782 and 68789 is 7