Greatest Common Factor of 5376 and 5381

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, 5381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5376 and 5381 is 1.

GCF(5376,5381) = 1

GCF of 5376 and 5381

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

GCF of:
and

Greatest Common Factor of 5376 and 5381

GCF of 5376 and 5381 is 1

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 5381


5381 5381
1

Prime factors of 5381 are 5381. Prime factorization of 5381 in exponential form is:

5381 = 53811

∴ So by taking common prime factors GCF of 5376 and 5381 is 1

Greatest Common Factor of 5376 and 5381 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 5381

List of positive integer factors of 5381 that divides 5381 without a remainder.

1,5381

Greatest Common Factor

We found the factors and prime factorization of 5376 and 5381. The biggest common factor number is the GCF number.
So the greatest common factor 5376 and 5381 is 1.

Also check out the Least Common Multiple of 5376 and 5381

Properties of GCF 5376 and 5381

(i) The GCF of 5376 and 5381 is associative

GCF of 5376 and 5381 = GCF of 5381 and 5376

Related Greatest Common Factor of 5376

Related Greatest Common Factor of 5381

Frequently Asked Questions on GCF of 5376 and 5381

1. What is the GCF of 5376 and 5381?

Answer: GCF of 5376 and 5381 is 1.

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 5381?

Answer: Factors of 5381 are 1, 5381. There are 2 integers that are factors of 5381. The greatest factor of 5381 is 5381.

4. How to Find the GCF of 5376 and 5381?

Answer:

Greatest Common Factor of 5376 and 5381 = 1

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 5381

5381 = 5381

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5376 and 5381 is 1