Greatest Common Factor of 5274 and 5278

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 5274, 5278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5274 and 5278 is 2.

GCF(5274,5278) = 2

GCF of 5274 and 5278

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

GCF of:
and

Greatest Common Factor of 5274 and 5278

GCF of 5274 and 5278 is 2

Prime Factorization of 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2,3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

Prime Factorization of 5278


2 5278
7 2639
13 377
29 29
1

Prime factors of 5278 are 2,7,13,29. Prime factorization of 5278 in exponential form is:

5278 = 21×71×131×291

∴ So by taking common prime factors GCF of 5274 and 5278 is 2

Greatest Common Factor of 5274 and 5278 by matching factors method

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278

Greatest Common Factor

We found the factors and prime factorization of 5274 and 5278. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5278 is 2.

Also check out the Least Common Multiple of 5274 and 5278

Properties of GCF 5274 and 5278

(i) The GCF of 5274 and 5278 is associative

GCF of 5274 and 5278 = GCF of 5278 and 5274

Related Greatest Common Factor of 5274

Related Greatest Common Factor of 5278

Frequently Asked Questions on GCF of 5274 and 5278

1. What is the GCF of 5274 and 5278?

Answer: GCF of 5274 and 5278 is 2.

2. What are the Factors of 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

3. What are the Factors of 5278?

Answer: Factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278. There are 16 integers that are factors of 5278. The greatest factor of 5278 is 5278.

4. How to Find the GCF of 5274 and 5278?

Answer:

Greatest Common Factor of 5274 and 5278 = 2

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5278

5278 = 2 x 7 x 13 x 29

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 5274 and 5278 is 2