Greatest Common Factor of 5352 and 5356

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 5352, 5356 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5352 and 5356 is 4.

GCF(5352,5356) = 4

GCF of 5352 and 5356

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

GCF of:
and

Greatest Common Factor of 5352 and 5356

GCF of 5352 and 5356 is 4

Prime Factorization of 5352


2 5352
2 2676
2 1338
3 669
223 223
1

Prime factors of 5352 are 2,3,223. Prime factorization of 5352 in exponential form is:

5352 = 23×31×2231

Prime Factorization of 5356


2 5356
2 2678
13 1339
103 103
1

Prime factors of 5356 are 2,13,103. Prime factorization of 5356 in exponential form is:

5356 = 22×131×1031

∴ So by taking common prime factors GCF of 5352 and 5356 is 4

Greatest Common Factor of 5352 and 5356 by matching factors method

Factors of 5352

List of positive integer factors of 5352 that divides 5352 without a remainder.

1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors and prime factorization of 5352 and 5356. The biggest common factor number is the GCF number.
So the greatest common factor 5352 and 5356 is 4.

Also check out the Least Common Multiple of 5352 and 5356

Properties of GCF 5352 and 5356

(i) The GCF of 5352 and 5356 is associative

GCF of 5352 and 5356 = GCF of 5356 and 5352

Related Greatest Common Factor of 5352

Related Greatest Common Factor of 5356

Frequently Asked Questions on GCF of 5352 and 5356

1. What is the GCF of 5352 and 5356?

Answer: GCF of 5352 and 5356 is 4.

2. What are the Factors of 5352?

Answer: Factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352. There are 16 integers that are factors of 5352. The greatest factor of 5352 is 5352.

3. What are the Factors of 5356?

Answer: Factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356. There are 12 integers that are factors of 5356. The greatest factor of 5356 is 5356.

4. How to Find the GCF of 5352 and 5356?

Answer:

Greatest Common Factor of 5352 and 5356 = 4

Step 1: Find the prime factorization of 5352

5352 = 2 x 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

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 5352 and 5356 is 4