Greatest Common Factor of 5404 and 5408

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 5404, 5408 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5404 and 5408 is 4.

GCF(5404,5408) = 4

GCF of 5404 and 5408

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

GCF of:
and

Greatest Common Factor of 5404 and 5408

GCF of 5404 and 5408 is 4

Prime Factorization of 5404


2 5404
2 2702
7 1351
193 193
1

Prime factors of 5404 are 2,7,193. Prime factorization of 5404 in exponential form is:

5404 = 22×71×1931

Prime Factorization of 5408


2 5408
2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 5408 are 2,13. Prime factorization of 5408 in exponential form is:

5408 = 25×132

∴ So by taking common prime factors GCF of 5404 and 5408 is 4

Greatest Common Factor of 5404 and 5408 by matching factors method

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1,2,4,7,14,28,193,386,772,1351,2702,5404

Factors of 5408

List of positive integer factors of 5408 that divides 5408 without a remainder.

1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408

Greatest Common Factor

We found the factors and prime factorization of 5404 and 5408. The biggest common factor number is the GCF number.
So the greatest common factor 5404 and 5408 is 4.

Also check out the Least Common Multiple of 5404 and 5408

Properties of GCF 5404 and 5408

(i) The GCF of 5404 and 5408 is associative

GCF of 5404 and 5408 = GCF of 5408 and 5404

Related Greatest Common Factor of 5404

Related Greatest Common Factor of 5408

Frequently Asked Questions on GCF of 5404 and 5408

1. What is the GCF of 5404 and 5408?

Answer: GCF of 5404 and 5408 is 4.

2. What are the Factors of 5404?

Answer: Factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404. There are 12 integers that are factors of 5404. The greatest factor of 5404 is 5404.

3. What are the Factors of 5408?

Answer: Factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408. There are 18 integers that are factors of 5408. The greatest factor of 5408 is 5408.

4. How to Find the GCF of 5404 and 5408?

Answer:

Greatest Common Factor of 5404 and 5408 = 4

Step 1: Find the prime factorization of 5404

5404 = 2 x 2 x 7 x 193

Step 2: Find the prime factorization of 5408

5408 = 2 x 2 x 2 x 2 x 2 x 13 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5404 and 5408 is 4