Greatest Common Factor of 8690 and 8698

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, 8698 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8690 and 8698 is 2.

GCF(8690,8698) = 2

GCF of 8690 and 8698

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

GCF of:
and

Greatest Common Factor of 8690 and 8698

GCF of 8690 and 8698 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 8698


2 8698
4349 4349
1

Prime factors of 8698 are 2,4349. Prime factorization of 8698 in exponential form is:

8698 = 21×43491

∴ So by taking common prime factors GCF of 8690 and 8698 is 2

Greatest Common Factor of 8690 and 8698 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 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1,2,4349,8698

Greatest Common Factor

We found the factors and prime factorization of 8690 and 8698. The biggest common factor number is the GCF number.
So the greatest common factor 8690 and 8698 is 2.

Also check out the Least Common Multiple of 8690 and 8698

Properties of GCF 8690 and 8698

(i) The GCF of 8690 and 8698 is associative

GCF of 8690 and 8698 = GCF of 8698 and 8690

Related Greatest Common Factor of 8690

Related Greatest Common Factor of 8698

Frequently Asked Questions on GCF of 8690 and 8698

1. What is the GCF of 8690 and 8698?

Answer: GCF of 8690 and 8698 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 8698?

Answer: Factors of 8698 are 1, 2, 4349, 8698. There are 4 integers that are factors of 8698. The greatest factor of 8698 is 8698.

4. How to Find the GCF of 8690 and 8698?

Answer:

Greatest Common Factor of 8690 and 8698 = 2

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

Step 2: Find the prime factorization of 8698

8698 = 2 x 4349

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 8698 is 2