Greatest Common Factor of 5640 and 5646

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 5640, 5646 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5640 and 5646 is 6.

GCF(5640,5646) = 6

GCF of 5640 and 5646

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

GCF of:
and

Greatest Common Factor of 5640 and 5646

GCF of 5640 and 5646 is 6

Prime Factorization of 5640


2 5640
2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 5640 are 2,3,5,47. Prime factorization of 5640 in exponential form is:

5640 = 23×31×51×471

Prime Factorization of 5646


2 5646
3 2823
941 941
1

Prime factors of 5646 are 2,3,941. Prime factorization of 5646 in exponential form is:

5646 = 21×31×9411

∴ So by taking common prime factors GCF of 5640 and 5646 is 6

Greatest Common Factor of 5640 and 5646 by matching factors method

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Greatest Common Factor

We found the factors and prime factorization of 5640 and 5646. The biggest common factor number is the GCF number.
So the greatest common factor 5640 and 5646 is 6.

Also check out the Least Common Multiple of 5640 and 5646

Properties of GCF 5640 and 5646

(i) The GCF of 5640 and 5646 is associative

GCF of 5640 and 5646 = GCF of 5646 and 5640

Related Greatest Common Factor of 5640

Related Greatest Common Factor of 5646

Frequently Asked Questions on GCF of 5640 and 5646

1. What is the GCF of 5640 and 5646?

Answer: GCF of 5640 and 5646 is 6.

2. What are the Factors of 5640?

Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.

3. What are the Factors of 5646?

Answer: Factors of 5646 are 1, 2, 3, 6, 941, 1882, 2823, 5646. There are 8 integers that are factors of 5646. The greatest factor of 5646 is 5646.

4. How to Find the GCF of 5640 and 5646?

Answer:

Greatest Common Factor of 5640 and 5646 = 6

Step 1: Find the prime factorization of 5640

5640 = 2 x 2 x 2 x 3 x 5 x 47

Step 2: Find the prime factorization of 5646

5646 = 2 x 3 x 941

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5640 and 5646 is 6