Greatest Common Factor of 5376 and 5379

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, 5379 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5376 and 5379 is 3.

GCF(5376,5379) = 3

GCF of 5376 and 5379

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

GCF of:
and

Greatest Common Factor of 5376 and 5379

GCF of 5376 and 5379 is 3

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 5379


3 5379
11 1793
163 163
1

Prime factors of 5379 are 3,11,163. Prime factorization of 5379 in exponential form is:

5379 = 31×111×1631

∴ So by taking common prime factors GCF of 5376 and 5379 is 3

Greatest Common Factor of 5376 and 5379 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 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Greatest Common Factor

We found the factors and prime factorization of 5376 and 5379. The biggest common factor number is the GCF number.
So the greatest common factor 5376 and 5379 is 3.

Also check out the Least Common Multiple of 5376 and 5379

Properties of GCF 5376 and 5379

(i) The GCF of 5376 and 5379 is associative

GCF of 5376 and 5379 = GCF of 5379 and 5376

Related Greatest Common Factor of 5376

Related Greatest Common Factor of 5379

Frequently Asked Questions on GCF of 5376 and 5379

1. What is the GCF of 5376 and 5379?

Answer: GCF of 5376 and 5379 is 3.

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 5379?

Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.

4. How to Find the GCF of 5376 and 5379?

Answer:

Greatest Common Factor of 5376 and 5379 = 3

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 5379

5379 = 3 x 11 x 163

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5376 and 5379 is 3