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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8690 and 8694 is associative
GCF of 8690 and 8694 = GCF of 8694 and 8690
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