Greatest Common Factor of 5332 and 5338

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 5332, 5338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5332 and 5338 is 2.

GCF(5332,5338) = 2

GCF of 5332 and 5338

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

GCF of:
and

Greatest Common Factor of 5332 and 5338

GCF of 5332 and 5338 is 2

Prime Factorization of 5332


2 5332
2 2666
31 1333
43 43
1

Prime factors of 5332 are 2,31,43. Prime factorization of 5332 in exponential form is:

5332 = 22×311×431

Prime Factorization of 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2,17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

∴ So by taking common prime factors GCF of 5332 and 5338 is 2

Greatest Common Factor of 5332 and 5338 by matching factors method

Factors of 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1,2,4,31,43,62,86,124,172,1333,2666,5332

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors and prime factorization of 5332 and 5338. The biggest common factor number is the GCF number.
So the greatest common factor 5332 and 5338 is 2.

Also check out the Least Common Multiple of 5332 and 5338

Properties of GCF 5332 and 5338

(i) The GCF of 5332 and 5338 is associative

GCF of 5332 and 5338 = GCF of 5338 and 5332

Related Greatest Common Factor of 5332

Related Greatest Common Factor of 5338

Frequently Asked Questions on GCF of 5332 and 5338

1. What is the GCF of 5332 and 5338?

Answer: GCF of 5332 and 5338 is 2.

2. What are the Factors of 5332?

Answer: Factors of 5332 are 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332. There are 12 integers that are factors of 5332. The greatest factor of 5332 is 5332.

3. What are the Factors of 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

4. How to Find the GCF of 5332 and 5338?

Answer:

Greatest Common Factor of 5332 and 5338 = 2

Step 1: Find the prime factorization of 5332

5332 = 2 x 2 x 31 x 43

Step 2: Find the prime factorization of 5338

5338 = 2 x 17 x 157

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 5332 and 5338 is 2