Greatest Common Factor of 8687 and 8694

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 8687, 8694 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8687 and 8694 is 7.

GCF(8687,8694) = 7

GCF of 8687 and 8694

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

GCF of:
and

Greatest Common Factor of 8687 and 8694

GCF of 8687 and 8694 is 7

Prime Factorization of 8687


7 8687
17 1241
73 73
1

Prime factors of 8687 are 7,17,73. Prime factorization of 8687 in exponential form is:

8687 = 71×171×731

Prime Factorization of 8694


2 8694
3 4347
3 1449
3 483
7 161
23 23
1

Prime factors of 8694 are 2,3,7,23. Prime factorization of 8694 in exponential form is:

8694 = 21×33×71×231

∴ So by taking common prime factors GCF of 8687 and 8694 is 7

Greatest Common Factor of 8687 and 8694 by matching factors method

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1,7,17,73,119,511,1241,8687

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694

Greatest Common Factor

We found the factors and prime factorization of 8687 and 8694. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8694 is 7.

Also check out the Least Common Multiple of 8687 and 8694

Properties of GCF 8687 and 8694

(i) The GCF of 8687 and 8694 is associative

GCF of 8687 and 8694 = GCF of 8694 and 8687

Related Greatest Common Factor of 8687

Related Greatest Common Factor of 8694

Frequently Asked Questions on GCF of 8687 and 8694

1. What is the GCF of 8687 and 8694?

Answer: GCF of 8687 and 8694 is 7.

2. What are the Factors of 8687?

Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.

3. What are the Factors of 8694?

Answer: Factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694. There are 32 integers that are factors of 8694. The greatest factor of 8694 is 8694.

4. How to Find the GCF of 8687 and 8694?

Answer:

Greatest Common Factor of 8687 and 8694 = 7

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8694

8694 = 2 x 3 x 3 x 3 x 7 x 23

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 8687 and 8694 is 7