Greatest Common Factor of 5746 and 5754

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 5746, 5754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5746 and 5754 is 2.

GCF(5746,5754) = 2

GCF of 5746 and 5754

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

GCF of:
and

Greatest Common Factor of 5746 and 5754

GCF of 5746 and 5754 is 2

Prime Factorization of 5746


2 5746
13 2873
13 221
17 17
1

Prime factors of 5746 are 2,13,17. Prime factorization of 5746 in exponential form is:

5746 = 21×132×171

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

∴ So by taking common prime factors GCF of 5746 and 5754 is 2

Greatest Common Factor of 5746 and 5754 by matching factors method

Factors of 5746

List of positive integer factors of 5746 that divides 5746 without a remainder.

1,2,13,17,26,34,169,221,338,442,2873,5746

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

Greatest Common Factor

We found the factors and prime factorization of 5746 and 5754. The biggest common factor number is the GCF number.
So the greatest common factor 5746 and 5754 is 2.

Also check out the Least Common Multiple of 5746 and 5754

Properties of GCF 5746 and 5754

(i) The GCF of 5746 and 5754 is associative

GCF of 5746 and 5754 = GCF of 5754 and 5746

Related Greatest Common Factor of 5746

Related Greatest Common Factor of 5754

Frequently Asked Questions on GCF of 5746 and 5754

1. What is the GCF of 5746 and 5754?

Answer: GCF of 5746 and 5754 is 2.

2. What are the Factors of 5746?

Answer: Factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746. There are 12 integers that are factors of 5746. The greatest factor of 5746 is 5746.

3. 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.

4. How to Find the GCF of 5746 and 5754?

Answer:

Greatest Common Factor of 5746 and 5754 = 2

Step 1: Find the prime factorization of 5746

5746 = 2 x 13 x 13 x 17

Step 2: Find the prime factorization of 5754

5754 = 2 x 3 x 7 x 137

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 5746 and 5754 is 2