Greatest Common Factor of 5634 and 5640

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 5634, 5640 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5634 and 5640 is 6.

GCF(5634,5640) = 6

GCF of 5634 and 5640

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

GCF of:
and

Greatest Common Factor of 5634 and 5640

GCF of 5634 and 5640 is 6

Prime Factorization of 5634


2 5634
3 2817
3 939
313 313
1

Prime factors of 5634 are 2,3,313. Prime factorization of 5634 in exponential form is:

5634 = 21×32×3131

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

∴ So by taking common prime factors GCF of 5634 and 5640 is 6

Greatest Common Factor of 5634 and 5640 by matching factors method

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

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

Greatest Common Factor

We found the factors and prime factorization of 5634 and 5640. The biggest common factor number is the GCF number.
So the greatest common factor 5634 and 5640 is 6.

Also check out the Least Common Multiple of 5634 and 5640

Properties of GCF 5634 and 5640

(i) The GCF of 5634 and 5640 is associative

GCF of 5634 and 5640 = GCF of 5640 and 5634

Related Greatest Common Factor of 5634

Related Greatest Common Factor of 5640

Frequently Asked Questions on GCF of 5634 and 5640

1. What is the GCF of 5634 and 5640?

Answer: GCF of 5634 and 5640 is 6.

2. What are the Factors of 5634?

Answer: Factors of 5634 are 1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634. There are 12 integers that are factors of 5634. The greatest factor of 5634 is 5634.

3. 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.

4. How to Find the GCF of 5634 and 5640?

Answer:

Greatest Common Factor of 5634 and 5640 = 6

Step 1: Find the prime factorization of 5634

5634 = 2 x 3 x 3 x 313

Step 2: Find the prime factorization of 5640

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

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 5634 and 5640 is 6