Greatest Common Factor of 5608 and 5616

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 5608, 5616 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5608 and 5616 is 8.

GCF(5608,5616) = 8

GCF of 5608 and 5616

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

GCF of:
and

Greatest Common Factor of 5608 and 5616

GCF of 5608 and 5616 is 8

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

Prime Factorization of 5616


2 5616
2 2808
2 1404
2 702
3 351
3 117
3 39
13 13
1

Prime factors of 5616 are 2,3,13. Prime factorization of 5616 in exponential form is:

5616 = 24×33×131

∴ So by taking common prime factors GCF of 5608 and 5616 is 8

Greatest Common Factor of 5608 and 5616 by matching factors method

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1,2,4,8,701,1402,2804,5608

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors and prime factorization of 5608 and 5616. The biggest common factor number is the GCF number.
So the greatest common factor 5608 and 5616 is 8.

Also check out the Least Common Multiple of 5608 and 5616

Properties of GCF 5608 and 5616

(i) The GCF of 5608 and 5616 is associative

GCF of 5608 and 5616 = GCF of 5616 and 5608

Related Greatest Common Factor of 5608

Related Greatest Common Factor of 5616

Frequently Asked Questions on GCF of 5608 and 5616

1. What is the GCF of 5608 and 5616?

Answer: GCF of 5608 and 5616 is 8.

2. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

3. What are the Factors of 5616?

Answer: Factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616. There are 40 integers that are factors of 5616. The greatest factor of 5616 is 5616.

4. How to Find the GCF of 5608 and 5616?

Answer:

Greatest Common Factor of 5608 and 5616 = 8

Step 1: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

Step 2: Find the prime factorization of 5616

5616 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13

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 5608 and 5616 is 8