Greatest Common Factor of 5664 and 5670

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 5664, 5670 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5664 and 5670 is 6.

GCF(5664,5670) = 6

GCF of 5664 and 5670

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

GCF of:
and

Greatest Common Factor of 5664 and 5670

GCF of 5664 and 5670 is 6

Prime Factorization of 5664


2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 5664 are 2,3,59. Prime factorization of 5664 in exponential form is:

5664 = 25×31×591

Prime Factorization of 5670


2 5670
3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 5670 are 2,3,5,7. Prime factorization of 5670 in exponential form is:

5670 = 21×34×51×71

∴ So by taking common prime factors GCF of 5664 and 5670 is 6

Greatest Common Factor of 5664 and 5670 by matching factors method

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670

Greatest Common Factor

We found the factors and prime factorization of 5664 and 5670. The biggest common factor number is the GCF number.
So the greatest common factor 5664 and 5670 is 6.

Also check out the Least Common Multiple of 5664 and 5670

Properties of GCF 5664 and 5670

(i) The GCF of 5664 and 5670 is associative

GCF of 5664 and 5670 = GCF of 5670 and 5664

Related Greatest Common Factor of 5664

Related Greatest Common Factor of 5670

Frequently Asked Questions on GCF of 5664 and 5670

1. What is the GCF of 5664 and 5670?

Answer: GCF of 5664 and 5670 is 6.

2. What are the Factors of 5664?

Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.

3. What are the Factors of 5670?

Answer: Factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670. There are 40 integers that are factors of 5670. The greatest factor of 5670 is 5670.

4. How to Find the GCF of 5664 and 5670?

Answer:

Greatest Common Factor of 5664 and 5670 = 6

Step 1: Find the prime factorization of 5664

5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 5670

5670 = 2 x 3 x 3 x 3 x 3 x 5 x 7

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 5664 and 5670 is 6