Greatest Common Factor of 8690 and 8695

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, 8695 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8690 and 8695 is 5.

GCF(8690,8695) = 5

GCF of 8690 and 8695

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

GCF of:
and

Greatest Common Factor of 8690 and 8695

GCF of 8690 and 8695 is 5

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 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5,37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

∴ So by taking common prime factors GCF of 8690 and 8695 is 5

Greatest Common Factor of 8690 and 8695 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 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1,5,37,47,185,235,1739,8695

Greatest Common Factor

We found the factors and prime factorization of 8690 and 8695. The biggest common factor number is the GCF number.
So the greatest common factor 8690 and 8695 is 5.

Also check out the Least Common Multiple of 8690 and 8695

Properties of GCF 8690 and 8695

(i) The GCF of 8690 and 8695 is associative

GCF of 8690 and 8695 = GCF of 8695 and 8690

Related Greatest Common Factor of 8690

Related Greatest Common Factor of 8695

Frequently Asked Questions on GCF of 8690 and 8695

1. What is the GCF of 8690 and 8695?

Answer: GCF of 8690 and 8695 is 5.

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 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

4. How to Find the GCF of 8690 and 8695?

Answer:

Greatest Common Factor of 8690 and 8695 = 5

Step 1: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

Step 2: Find the prime factorization of 8695

8695 = 5 x 37 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 8690 and 8695 is 5