Greatest Common Factor of 5368 and 5376

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 5368, 5376 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5368 and 5376 is 8.

GCF(5368,5376) = 8

GCF of 5368 and 5376

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

GCF of:
and

Greatest Common Factor of 5368 and 5376

GCF of 5368 and 5376 is 8

Prime Factorization of 5368


2 5368
2 2684
2 1342
11 671
61 61
1

Prime factors of 5368 are 2,11,61. Prime factorization of 5368 in exponential form is:

5368 = 23×111×611

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

∴ So by taking common prime factors GCF of 5368 and 5376 is 8

Greatest Common Factor of 5368 and 5376 by matching factors method

Factors of 5368

List of positive integer factors of 5368 that divides 5368 without a remainder.

1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368

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

Greatest Common Factor

We found the factors and prime factorization of 5368 and 5376. The biggest common factor number is the GCF number.
So the greatest common factor 5368 and 5376 is 8.

Also check out the Least Common Multiple of 5368 and 5376

Properties of GCF 5368 and 5376

(i) The GCF of 5368 and 5376 is associative

GCF of 5368 and 5376 = GCF of 5376 and 5368

Related Greatest Common Factor of 5368

Related Greatest Common Factor of 5376

Frequently Asked Questions on GCF of 5368 and 5376

1. What is the GCF of 5368 and 5376?

Answer: GCF of 5368 and 5376 is 8.

2. What are the Factors of 5368?

Answer: Factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368. There are 16 integers that are factors of 5368. The greatest factor of 5368 is 5368.

3. 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.

4. How to Find the GCF of 5368 and 5376?

Answer:

Greatest Common Factor of 5368 and 5376 = 8

Step 1: Find the prime factorization of 5368

5368 = 2 x 2 x 2 x 11 x 61

Step 2: 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 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 5368 and 5376 is 8