Greatest Common Factor of 5690 and 5694

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, 5694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5690 and 5694 is 2.

GCF(5690,5694) = 2

GCF of 5690 and 5694

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

GCF of:
and

Greatest Common Factor of 5690 and 5694

GCF of 5690 and 5694 is 2

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 5694


2 5694
3 2847
13 949
73 73
1

Prime factors of 5694 are 2,3,13,73. Prime factorization of 5694 in exponential form is:

5694 = 21×31×131×731

∴ So by taking common prime factors GCF of 5690 and 5694 is 2

Greatest Common Factor of 5690 and 5694 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 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Greatest Common Factor

We found the factors and prime factorization of 5690 and 5694. The biggest common factor number is the GCF number.
So the greatest common factor 5690 and 5694 is 2.

Also check out the Least Common Multiple of 5690 and 5694

Properties of GCF 5690 and 5694

(i) The GCF of 5690 and 5694 is associative

GCF of 5690 and 5694 = GCF of 5694 and 5690

Related Greatest Common Factor of 5690

Related Greatest Common Factor of 5694

Frequently Asked Questions on GCF of 5690 and 5694

1. What is the GCF of 5690 and 5694?

Answer: GCF of 5690 and 5694 is 2.

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 5694?

Answer: Factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694. There are 16 integers that are factors of 5694. The greatest factor of 5694 is 5694.

4. How to Find the GCF of 5690 and 5694?

Answer:

Greatest Common Factor of 5690 and 5694 = 2

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

Step 2: Find the prime factorization of 5694

5694 = 2 x 3 x 13 x 73

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 5690 and 5694 is 2