Greatest Common Factor of 5376 and 5384

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, 5384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5376 and 5384 is 8.

GCF(5376,5384) = 8

GCF of 5376 and 5384

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

GCF of:
and

Greatest Common Factor of 5376 and 5384

GCF of 5376 and 5384 is 8

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 5384


2 5384
2 2692
2 1346
673 673
1

Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:

5384 = 23×6731

∴ So by taking common prime factors GCF of 5376 and 5384 is 8

Greatest Common Factor of 5376 and 5384 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 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1,2,4,8,673,1346,2692,5384

Greatest Common Factor

We found the factors and prime factorization of 5376 and 5384. The biggest common factor number is the GCF number.
So the greatest common factor 5376 and 5384 is 8.

Also check out the Least Common Multiple of 5376 and 5384

Properties of GCF 5376 and 5384

(i) The GCF of 5376 and 5384 is associative

GCF of 5376 and 5384 = GCF of 5384 and 5376

Related Greatest Common Factor of 5376

Related Greatest Common Factor of 5384

Frequently Asked Questions on GCF of 5376 and 5384

1. What is the GCF of 5376 and 5384?

Answer: GCF of 5376 and 5384 is 8.

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 5384?

Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.

4. How to Find the GCF of 5376 and 5384?

Answer:

Greatest Common Factor of 5376 and 5384 = 8

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 5384

5384 = 2 x 2 x 2 x 673

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5376 and 5384 is 8