Greatest Common Factor of 5616 and 5624

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 5616, 5624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5616 and 5624 is 8.

GCF(5616,5624) = 8

GCF of 5616 and 5624

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

GCF of:
and

Greatest Common Factor of 5616 and 5624

GCF of 5616 and 5624 is 8

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

Prime Factorization of 5624


2 5624
2 2812
2 1406
19 703
37 37
1

Prime factors of 5624 are 2,19,37. Prime factorization of 5624 in exponential form is:

5624 = 23×191×371

∴ So by taking common prime factors GCF of 5616 and 5624 is 8

Greatest Common Factor of 5616 and 5624 by matching factors method

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

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Greatest Common Factor

We found the factors and prime factorization of 5616 and 5624. The biggest common factor number is the GCF number.
So the greatest common factor 5616 and 5624 is 8.

Also check out the Least Common Multiple of 5616 and 5624

Properties of GCF 5616 and 5624

(i) The GCF of 5616 and 5624 is associative

GCF of 5616 and 5624 = GCF of 5624 and 5616

Related Greatest Common Factor of 5616

Related Greatest Common Factor of 5624

Frequently Asked Questions on GCF of 5616 and 5624

1. What is the GCF of 5616 and 5624?

Answer: GCF of 5616 and 5624 is 8.

2. 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.

3. What are the Factors of 5624?

Answer: Factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624. There are 16 integers that are factors of 5624. The greatest factor of 5624 is 5624.

4. How to Find the GCF of 5616 and 5624?

Answer:

Greatest Common Factor of 5616 and 5624 = 8

Step 1: Find the prime factorization of 5616

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

Step 2: Find the prime factorization of 5624

5624 = 2 x 2 x 2 x 19 x 37

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 5616 and 5624 is 8