Greatest Common Factor of 5680 and 5685

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 5680, 5685 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5680 and 5685 is 5.

GCF(5680,5685) = 5

GCF of 5680 and 5685

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

GCF of:
and

Greatest Common Factor of 5680 and 5685

GCF of 5680 and 5685 is 5

Prime Factorization of 5680


2 5680
2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 5680 are 2,5,71. Prime factorization of 5680 in exponential form is:

5680 = 24×51×711

Prime Factorization of 5685


3 5685
5 1895
379 379
1

Prime factors of 5685 are 3,5,379. Prime factorization of 5685 in exponential form is:

5685 = 31×51×3791

∴ So by taking common prime factors GCF of 5680 and 5685 is 5

Greatest Common Factor of 5680 and 5685 by matching factors method

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680

Factors of 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1,3,5,15,379,1137,1895,5685

Greatest Common Factor

We found the factors and prime factorization of 5680 and 5685. The biggest common factor number is the GCF number.
So the greatest common factor 5680 and 5685 is 5.

Also check out the Least Common Multiple of 5680 and 5685

Properties of GCF 5680 and 5685

(i) The GCF of 5680 and 5685 is associative

GCF of 5680 and 5685 = GCF of 5685 and 5680

Related Greatest Common Factor of 5680

Related Greatest Common Factor of 5685

Frequently Asked Questions on GCF of 5680 and 5685

1. What is the GCF of 5680 and 5685?

Answer: GCF of 5680 and 5685 is 5.

2. What are the Factors of 5680?

Answer: Factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680. There are 20 integers that are factors of 5680. The greatest factor of 5680 is 5680.

3. What are the Factors of 5685?

Answer: Factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685. There are 8 integers that are factors of 5685. The greatest factor of 5685 is 5685.

4. How to Find the GCF of 5680 and 5685?

Answer:

Greatest Common Factor of 5680 and 5685 = 5

Step 1: Find the prime factorization of 5680

5680 = 2 x 2 x 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 5685

5685 = 3 x 5 x 379

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 5680 and 5685 is 5