Greatest Common Factor of 5404 and 5411

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, 5411 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5404 and 5411 is 7.

GCF(5404,5411) = 7

GCF of 5404 and 5411

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

GCF of:
and

Greatest Common Factor of 5404 and 5411

GCF of 5404 and 5411 is 7

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 5411


7 5411
773 773
1

Prime factors of 5411 are 7,773. Prime factorization of 5411 in exponential form is:

5411 = 71×7731

∴ So by taking common prime factors GCF of 5404 and 5411 is 7

Greatest Common Factor of 5404 and 5411 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 5411

List of positive integer factors of 5411 that divides 5411 without a remainder.

1,7,773,5411

Greatest Common Factor

We found the factors and prime factorization of 5404 and 5411. The biggest common factor number is the GCF number.
So the greatest common factor 5404 and 5411 is 7.

Also check out the Least Common Multiple of 5404 and 5411

Properties of GCF 5404 and 5411

(i) The GCF of 5404 and 5411 is associative

GCF of 5404 and 5411 = GCF of 5411 and 5404

Related Greatest Common Factor of 5404

Related Greatest Common Factor of 5411

Frequently Asked Questions on GCF of 5404 and 5411

1. What is the GCF of 5404 and 5411?

Answer: GCF of 5404 and 5411 is 7.

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 5411?

Answer: Factors of 5411 are 1, 7, 773, 5411. There are 4 integers that are factors of 5411. The greatest factor of 5411 is 5411.

4. How to Find the GCF of 5404 and 5411?

Answer:

Greatest Common Factor of 5404 and 5411 = 7

Step 1: Find the prime factorization of 5404

5404 = 2 x 2 x 7 x 193

Step 2: Find the prime factorization of 5411

5411 = 7 x 773

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5404 and 5411 is 7