Greatest Common Factor of 5324 and 5332

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 5324, 5332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5324 and 5332 is 4.

GCF(5324,5332) = 4

GCF of 5324 and 5332

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

GCF of:
and

Greatest Common Factor of 5324 and 5332

GCF of 5324 and 5332 is 4

Prime Factorization of 5324


2 5324
2 2662
11 1331
11 121
11 11
1

Prime factors of 5324 are 2,11. Prime factorization of 5324 in exponential form is:

5324 = 22×113

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

∴ So by taking common prime factors GCF of 5324 and 5332 is 4

Greatest Common Factor of 5324 and 5332 by matching factors method

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1,2,4,11,22,44,121,242,484,1331,2662,5324

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

Greatest Common Factor

We found the factors and prime factorization of 5324 and 5332. The biggest common factor number is the GCF number.
So the greatest common factor 5324 and 5332 is 4.

Also check out the Least Common Multiple of 5324 and 5332

Properties of GCF 5324 and 5332

(i) The GCF of 5324 and 5332 is associative

GCF of 5324 and 5332 = GCF of 5332 and 5324

Related Greatest Common Factor of 5324

Related Greatest Common Factor of 5332

Frequently Asked Questions on GCF of 5324 and 5332

1. What is the GCF of 5324 and 5332?

Answer: GCF of 5324 and 5332 is 4.

2. What are the Factors of 5324?

Answer: Factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324. There are 12 integers that are factors of 5324. The greatest factor of 5324 is 5324.

3. 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.

4. How to Find the GCF of 5324 and 5332?

Answer:

Greatest Common Factor of 5324 and 5332 = 4

Step 1: Find the prime factorization of 5324

5324 = 2 x 2 x 11 x 11 x 11

Step 2: Find the prime factorization of 5332

5332 = 2 x 2 x 31 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5324 and 5332 is 4