Greatest Common Factor of 5376 and 5382

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 5376, 5382 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5376 and 5382 is 6.

GCF(5376,5382) = 6

GCF of 5376 and 5382

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

GCF of:
and

Greatest Common Factor of 5376 and 5382

GCF of 5376 and 5382 is 6

Prime Factorization of 5376


2 5376
2 2688
2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 5376 are 2,3,7. Prime factorization of 5376 in exponential form is:

5376 = 28×31×71

Prime Factorization of 5382


2 5382
3 2691
3 897
13 299
23 23
1

Prime factors of 5382 are 2,3,13,23. Prime factorization of 5382 in exponential form is:

5382 = 21×32×131×231

∴ So by taking common prime factors GCF of 5376 and 5382 is 6

Greatest Common Factor of 5376 and 5382 by matching factors method

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376

Factors of 5382

List of positive integer factors of 5382 that divides 5382 without a remainder.

1,2,3,6,9,13,18,23,26,39,46,69,78,117,138,207,234,299,414,598,897,1794,2691,5382

Greatest Common Factor

We found the factors and prime factorization of 5376 and 5382. The biggest common factor number is the GCF number.
So the greatest common factor 5376 and 5382 is 6.

Also check out the Least Common Multiple of 5376 and 5382

Properties of GCF 5376 and 5382

(i) The GCF of 5376 and 5382 is associative

GCF of 5376 and 5382 = GCF of 5382 and 5376

Related Greatest Common Factor of 5376

Related Greatest Common Factor of 5382

Frequently Asked Questions on GCF of 5376 and 5382

1. What is the GCF of 5376 and 5382?

Answer: GCF of 5376 and 5382 is 6.

2. What are the Factors of 5376?

Answer: Factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376. There are 36 integers that are factors of 5376. The greatest factor of 5376 is 5376.

3. What are the Factors of 5382?

Answer: Factors of 5382 are 1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382. There are 24 integers that are factors of 5382. The greatest factor of 5382 is 5382.

4. How to Find the GCF of 5376 and 5382?

Answer:

Greatest Common Factor of 5376 and 5382 = 6

Step 1: Find the prime factorization of 5376

5376 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 5382

5382 = 2 x 3 x 3 x 13 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5376 and 5382 is 6