Greatest Common Factor of 5760 and 5762

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 5760, 5762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5760 and 5762 is 2.

GCF(5760,5762) = 2

GCF of 5760 and 5762

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

GCF of:
and

Greatest Common Factor of 5760 and 5762

GCF of 5760 and 5762 is 2

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

Prime Factorization of 5762


2 5762
43 2881
67 67
1

Prime factors of 5762 are 2,43,67. Prime factorization of 5762 in exponential form is:

5762 = 21×431×671

∴ So by taking common prime factors GCF of 5760 and 5762 is 2

Greatest Common Factor of 5760 and 5762 by matching factors method

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

Factors of 5762

List of positive integer factors of 5762 that divides 5762 without a remainder.

1,2,43,67,86,134,2881,5762

Greatest Common Factor

We found the factors and prime factorization of 5760 and 5762. The biggest common factor number is the GCF number.
So the greatest common factor 5760 and 5762 is 2.

Also check out the Least Common Multiple of 5760 and 5762

Properties of GCF 5760 and 5762

(i) The GCF of 5760 and 5762 is associative

GCF of 5760 and 5762 = GCF of 5762 and 5760

Related Greatest Common Factor of 5760

Related Greatest Common Factor of 5762

Frequently Asked Questions on GCF of 5760 and 5762

1. What is the GCF of 5760 and 5762?

Answer: GCF of 5760 and 5762 is 2.

2. 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.

3. What are the Factors of 5762?

Answer: Factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762. There are 8 integers that are factors of 5762. The greatest factor of 5762 is 5762.

4. How to Find the GCF of 5760 and 5762?

Answer:

Greatest Common Factor of 5760 and 5762 = 2

Step 1: 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 2: Find the prime factorization of 5762

5762 = 2 x 43 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5760 and 5762 is 2