Greatest Common Factor of 5474 and 5482

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, 5482 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5474 and 5482 is 2.

GCF(5474,5482) = 2

GCF of 5474 and 5482

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

GCF of:
and

Greatest Common Factor of 5474 and 5482

GCF of 5474 and 5482 is 2

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 5482


2 5482
2741 2741
1

Prime factors of 5482 are 2,2741. Prime factorization of 5482 in exponential form is:

5482 = 21×27411

∴ So by taking common prime factors GCF of 5474 and 5482 is 2

Greatest Common Factor of 5474 and 5482 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 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1,2,2741,5482

Greatest Common Factor

We found the factors and prime factorization of 5474 and 5482. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5482 is 2.

Also check out the Least Common Multiple of 5474 and 5482

Properties of GCF 5474 and 5482

(i) The GCF of 5474 and 5482 is associative

GCF of 5474 and 5482 = GCF of 5482 and 5474

Related Greatest Common Factor of 5474

Related Greatest Common Factor of 5482

Frequently Asked Questions on GCF of 5474 and 5482

1. What is the GCF of 5474 and 5482?

Answer: GCF of 5474 and 5482 is 2.

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 5482?

Answer: Factors of 5482 are 1, 2, 2741, 5482. There are 4 integers that are factors of 5482. The greatest factor of 5482 is 5482.

4. How to Find the GCF of 5474 and 5482?

Answer:

Greatest Common Factor of 5474 and 5482 = 2

Step 1: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

Step 2: Find the prime factorization of 5482

5482 = 2 x 2741

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5474 and 5482 is 2