Greatest Common Factor of 5734 and 5736

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 5734, 5736 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5734 and 5736 is 2.

GCF(5734,5736) = 2

GCF of 5734 and 5736

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

GCF of:
and

Greatest Common Factor of 5734 and 5736

GCF of 5734 and 5736 is 2

Prime Factorization of 5734


2 5734
47 2867
61 61
1

Prime factors of 5734 are 2,47,61. Prime factorization of 5734 in exponential form is:

5734 = 21×471×611

Prime Factorization of 5736


2 5736
2 2868
2 1434
3 717
239 239
1

Prime factors of 5736 are 2,3,239. Prime factorization of 5736 in exponential form is:

5736 = 23×31×2391

∴ So by taking common prime factors GCF of 5734 and 5736 is 2

Greatest Common Factor of 5734 and 5736 by matching factors method

Factors of 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1,2,47,61,94,122,2867,5734

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors and prime factorization of 5734 and 5736. The biggest common factor number is the GCF number.
So the greatest common factor 5734 and 5736 is 2.

Also check out the Least Common Multiple of 5734 and 5736

Properties of GCF 5734 and 5736

(i) The GCF of 5734 and 5736 is associative

GCF of 5734 and 5736 = GCF of 5736 and 5734

Related Greatest Common Factor of 5734

Related Greatest Common Factor of 5736

Frequently Asked Questions on GCF of 5734 and 5736

1. What is the GCF of 5734 and 5736?

Answer: GCF of 5734 and 5736 is 2.

2. What are the Factors of 5734?

Answer: Factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734. There are 8 integers that are factors of 5734. The greatest factor of 5734 is 5734.

3. What are the Factors of 5736?

Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.

4. How to Find the GCF of 5734 and 5736?

Answer:

Greatest Common Factor of 5734 and 5736 = 2

Step 1: Find the prime factorization of 5734

5734 = 2 x 47 x 61

Step 2: Find the prime factorization of 5736

5736 = 2 x 2 x 2 x 3 x 239

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 5734 and 5736 is 2