Greatest Common Factor of 8690 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 8690, 8694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8690 and 8694 is 2.

GCF(8690,8694) = 2

GCF of 8690 and 8694

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

GCF of:
and

Greatest Common Factor of 8690 and 8694

GCF of 8690 and 8694 is 2

Prime Factorization of 8690


2 8690
5 4345
11 869
79 79
1

Prime factors of 8690 are 2,5,11,79. Prime factorization of 8690 in exponential form is:

8690 = 21×51×111×791

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 8690 and 8694 is 2

Greatest Common Factor of 8690 and 8694 by matching factors method

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

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 8690 and 8694. The biggest common factor number is the GCF number.
So the greatest common factor 8690 and 8694 is 2.

Also check out the Least Common Multiple of 8690 and 8694

Properties of GCF 8690 and 8694

(i) The GCF of 8690 and 8694 is associative

GCF of 8690 and 8694 = GCF of 8694 and 8690

Frequently Asked Questions on GCF of 8690 and 8694

1. What is the GCF of 8690 and 8694?

Answer: GCF of 8690 and 8694 is 2.

2. What are the Factors of 8690?

Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.

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 8690 and 8694?

Answer:

Greatest Common Factor of 8690 and 8694 = 2

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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 = 2

Step 4: Therefore, the greatest common factor of 8690 and 8694 is 2