Greatest Common Factor of 5474 and 5481

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 5474, 5481 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5474 and 5481 is 7.

GCF(5474,5481) = 7

GCF of 5474 and 5481

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

GCF of:
and

Greatest Common Factor of 5474 and 5481

GCF of 5474 and 5481 is 7

Prime Factorization of 5474


2 5474
7 2737
17 391
23 23
1

Prime factors of 5474 are 2,7,17,23. Prime factorization of 5474 in exponential form is:

5474 = 21×71×171×231

Prime Factorization of 5481


3 5481
3 1827
3 609
7 203
29 29
1

Prime factors of 5481 are 3,7,29. Prime factorization of 5481 in exponential form is:

5481 = 33×71×291

∴ So by taking common prime factors GCF of 5474 and 5481 is 7

Greatest Common Factor of 5474 and 5481 by matching factors method

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Factors of 5481

List of positive integer factors of 5481 that divides 5481 without a remainder.

1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481

Greatest Common Factor

We found the factors and prime factorization of 5474 and 5481. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5481 is 7.

Also check out the Least Common Multiple of 5474 and 5481

Properties of GCF 5474 and 5481

(i) The GCF of 5474 and 5481 is associative

GCF of 5474 and 5481 = GCF of 5481 and 5474

Related Greatest Common Factor of 5474

Related Greatest Common Factor of 5481

Frequently Asked Questions on GCF of 5474 and 5481

1. What is the GCF of 5474 and 5481?

Answer: GCF of 5474 and 5481 is 7.

2. What are the Factors of 5474?

Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.

3. What are the Factors of 5481?

Answer: Factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481. There are 16 integers that are factors of 5481. The greatest factor of 5481 is 5481.

4. How to Find the GCF of 5474 and 5481?

Answer:

Greatest Common Factor of 5474 and 5481 = 7

Step 1: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

Step 2: Find the prime factorization of 5481

5481 = 3 x 3 x 3 x 7 x 29

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 5474 and 5481 is 7