Greatest Common Factor of 5690 and 5695

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 5690, 5695 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5690 and 5695 is 5.

GCF(5690,5695) = 5

GCF of 5690 and 5695

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

GCF of:
and

Greatest Common Factor of 5690 and 5695

GCF of 5690 and 5695 is 5

Prime Factorization of 5690


2 5690
5 2845
569 569
1

Prime factors of 5690 are 2,5,569. Prime factorization of 5690 in exponential form is:

5690 = 21×51×5691

Prime Factorization of 5695


5 5695
17 1139
67 67
1

Prime factors of 5695 are 5,17,67. Prime factorization of 5695 in exponential form is:

5695 = 51×171×671

∴ So by taking common prime factors GCF of 5690 and 5695 is 5

Greatest Common Factor of 5690 and 5695 by matching factors method

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1,2,5,10,569,1138,2845,5690

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1,5,17,67,85,335,1139,5695

Greatest Common Factor

We found the factors and prime factorization of 5690 and 5695. The biggest common factor number is the GCF number.
So the greatest common factor 5690 and 5695 is 5.

Also check out the Least Common Multiple of 5690 and 5695

Properties of GCF 5690 and 5695

(i) The GCF of 5690 and 5695 is associative

GCF of 5690 and 5695 = GCF of 5695 and 5690

Related Greatest Common Factor of 5690

Related Greatest Common Factor of 5695

Frequently Asked Questions on GCF of 5690 and 5695

1. What is the GCF of 5690 and 5695?

Answer: GCF of 5690 and 5695 is 5.

2. What are the Factors of 5690?

Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.

3. What are the Factors of 5695?

Answer: Factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695. There are 8 integers that are factors of 5695. The greatest factor of 5695 is 5695.

4. How to Find the GCF of 5690 and 5695?

Answer:

Greatest Common Factor of 5690 and 5695 = 5

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

Step 2: Find the prime factorization of 5695

5695 = 5 x 17 x 67

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 5690 and 5695 is 5