Greatest Common Factor of 5632 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 5632, 5640 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5632 and 5640 is 8.

GCF(5632,5640) = 8

GCF of 5632 and 5640

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

GCF of:
and

Greatest Common Factor of 5632 and 5640

GCF of 5632 and 5640 is 8

Prime Factorization of 5632


2 5632
2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 5632 are 2,11. Prime factorization of 5632 in exponential form is:

5632 = 29×111

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 5632 and 5640 is 8

Greatest Common Factor of 5632 and 5640 by matching factors method

Factors of 5632

List of positive integer factors of 5632 that divides 5632 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632

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 5632 and 5640. The biggest common factor number is the GCF number.
So the greatest common factor 5632 and 5640 is 8.

Also check out the Least Common Multiple of 5632 and 5640

Properties of GCF 5632 and 5640

(i) The GCF of 5632 and 5640 is associative

GCF of 5632 and 5640 = GCF of 5640 and 5632

Related Greatest Common Factor of 5632

Related Greatest Common Factor of 5640

Frequently Asked Questions on GCF of 5632 and 5640

1. What is the GCF of 5632 and 5640?

Answer: GCF of 5632 and 5640 is 8.

2. What are the Factors of 5632?

Answer: Factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632. There are 20 integers that are factors of 5632. The greatest factor of 5632 is 5632.

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 5632 and 5640?

Answer:

Greatest Common Factor of 5632 and 5640 = 8

Step 1: Find the prime factorization of 5632

5632 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5632 and 5640 is 8