Greatest Common Factor of 5732 and 5738

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 5732, 5738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5732 and 5738 is 2.

GCF(5732,5738) = 2

GCF of 5732 and 5738

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

GCF of:
and

Greatest Common Factor of 5732 and 5738

GCF of 5732 and 5738 is 2

Prime Factorization of 5732


2 5732
2 2866
1433 1433
1

Prime factors of 5732 are 2,1433. Prime factorization of 5732 in exponential form is:

5732 = 22×14331

Prime Factorization of 5738


2 5738
19 2869
151 151
1

Prime factors of 5738 are 2,19,151. Prime factorization of 5738 in exponential form is:

5738 = 21×191×1511

∴ So by taking common prime factors GCF of 5732 and 5738 is 2

Greatest Common Factor of 5732 and 5738 by matching factors method

Factors of 5732

List of positive integer factors of 5732 that divides 5732 without a remainder.

1,2,4,1433,2866,5732

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

Greatest Common Factor

We found the factors and prime factorization of 5732 and 5738. The biggest common factor number is the GCF number.
So the greatest common factor 5732 and 5738 is 2.

Also check out the Least Common Multiple of 5732 and 5738

Properties of GCF 5732 and 5738

(i) The GCF of 5732 and 5738 is associative

GCF of 5732 and 5738 = GCF of 5738 and 5732

Related Greatest Common Factor of 5732

Related Greatest Common Factor of 5738

Frequently Asked Questions on GCF of 5732 and 5738

1. What is the GCF of 5732 and 5738?

Answer: GCF of 5732 and 5738 is 2.

2. What are the Factors of 5732?

Answer: Factors of 5732 are 1, 2, 4, 1433, 2866, 5732. There are 6 integers that are factors of 5732. The greatest factor of 5732 is 5732.

3. What are the Factors of 5738?

Answer: Factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738. There are 8 integers that are factors of 5738. The greatest factor of 5738 is 5738.

4. How to Find the GCF of 5732 and 5738?

Answer:

Greatest Common Factor of 5732 and 5738 = 2

Step 1: Find the prime factorization of 5732

5732 = 2 x 2 x 1433

Step 2: Find the prime factorization of 5738

5738 = 2 x 19 x 151

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 5732 and 5738 is 2