Greatest Common Factor of 5670 and 5674

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 5670, 5674 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5670 and 5674 is 2.

GCF(5670,5674) = 2

GCF of 5670 and 5674

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

GCF of:
and

Greatest Common Factor of 5670 and 5674

GCF of 5670 and 5674 is 2

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

Prime Factorization of 5674


2 5674
2837 2837
1

Prime factors of 5674 are 2,2837. Prime factorization of 5674 in exponential form is:

5674 = 21×28371

∴ So by taking common prime factors GCF of 5670 and 5674 is 2

Greatest Common Factor of 5670 and 5674 by matching factors method

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

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1,2,2837,5674

Greatest Common Factor

We found the factors and prime factorization of 5670 and 5674. The biggest common factor number is the GCF number.
So the greatest common factor 5670 and 5674 is 2.

Also check out the Least Common Multiple of 5670 and 5674

Properties of GCF 5670 and 5674

(i) The GCF of 5670 and 5674 is associative

GCF of 5670 and 5674 = GCF of 5674 and 5670

Related Greatest Common Factor of 5670

Related Greatest Common Factor of 5674

Frequently Asked Questions on GCF of 5670 and 5674

1. What is the GCF of 5670 and 5674?

Answer: GCF of 5670 and 5674 is 2.

2. 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.

3. What are the Factors of 5674?

Answer: Factors of 5674 are 1, 2, 2837, 5674. There are 4 integers that are factors of 5674. The greatest factor of 5674 is 5674.

4. How to Find the GCF of 5670 and 5674?

Answer:

Greatest Common Factor of 5670 and 5674 = 2

Step 1: Find the prime factorization of 5670

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

Step 2: Find the prime factorization of 5674

5674 = 2 x 2837

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 5670 and 5674 is 2