Greatest Common Factor of 5474 and 5480

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, 5480 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5474 and 5480 is 2.

GCF(5474,5480) = 2

GCF of 5474 and 5480

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

GCF of:
and

Greatest Common Factor of 5474 and 5480

GCF of 5474 and 5480 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 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2,5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

∴ So by taking common prime factors GCF of 5474 and 5480 is 2

Greatest Common Factor of 5474 and 5480 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 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors and prime factorization of 5474 and 5480. The biggest common factor number is the GCF number.
So the greatest common factor 5474 and 5480 is 2.

Also check out the Least Common Multiple of 5474 and 5480

Properties of GCF 5474 and 5480

(i) The GCF of 5474 and 5480 is associative

GCF of 5474 and 5480 = GCF of 5480 and 5474

Related Greatest Common Factor of 5474

Related Greatest Common Factor of 5480

Frequently Asked Questions on GCF of 5474 and 5480

1. What is the GCF of 5474 and 5480?

Answer: GCF of 5474 and 5480 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 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

4. How to Find the GCF of 5474 and 5480?

Answer:

Greatest Common Factor of 5474 and 5480 = 2

Step 1: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

Step 2: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

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 5480 is 2