Greatest Common Factor of 5754 and 5760

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 5754, 5760 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5754 and 5760 is 6.

GCF(5754,5760) = 6

GCF of 5754 and 5760

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

GCF of:
and

Greatest Common Factor of 5754 and 5760

GCF of 5754 and 5760 is 6

Prime Factorization of 5754


2 5754
3 2877
7 959
137 137
1

Prime factors of 5754 are 2,3,7,137. Prime factorization of 5754 in exponential form is:

5754 = 21×31×71×1371

Prime Factorization of 5760


2 5760
2 2880
2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 5760 are 2,3,5. Prime factorization of 5760 in exponential form is:

5760 = 27×32×51

∴ So by taking common prime factors GCF of 5754 and 5760 is 6

Greatest Common Factor of 5754 and 5760 by matching factors method

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Greatest Common Factor

We found the factors and prime factorization of 5754 and 5760. The biggest common factor number is the GCF number.
So the greatest common factor 5754 and 5760 is 6.

Also check out the Least Common Multiple of 5754 and 5760

Properties of GCF 5754 and 5760

(i) The GCF of 5754 and 5760 is associative

GCF of 5754 and 5760 = GCF of 5760 and 5754

Related Greatest Common Factor of 5754

Related Greatest Common Factor of 5760

Frequently Asked Questions on GCF of 5754 and 5760

1. What is the GCF of 5754 and 5760?

Answer: GCF of 5754 and 5760 is 6.

2. What are the Factors of 5754?

Answer: Factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754. There are 16 integers that are factors of 5754. The greatest factor of 5754 is 5754.

3. What are the Factors of 5760?

Answer: Factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. There are 48 integers that are factors of 5760. The greatest factor of 5760 is 5760.

4. How to Find the GCF of 5754 and 5760?

Answer:

Greatest Common Factor of 5754 and 5760 = 6

Step 1: Find the prime factorization of 5754

5754 = 2 x 3 x 7 x 137

Step 2: Find the prime factorization of 5760

5760 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

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 5754 and 5760 is 6