Greatest Common Factor of 5266 and 5274

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 5266, 5274 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5266 and 5274 is 2.

GCF(5266,5274) = 2

GCF of 5266 and 5274

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

GCF of:
and

Greatest Common Factor of 5266 and 5274

GCF of 5266 and 5274 is 2

Prime Factorization of 5266


2 5266
2633 2633
1

Prime factors of 5266 are 2,2633. Prime factorization of 5266 in exponential form is:

5266 = 21×26331

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

∴ So by taking common prime factors GCF of 5266 and 5274 is 2

Greatest Common Factor of 5266 and 5274 by matching factors method

Factors of 5266

List of positive integer factors of 5266 that divides 5266 without a remainder.

1,2,2633,5266

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

Greatest Common Factor

We found the factors and prime factorization of 5266 and 5274. The biggest common factor number is the GCF number.
So the greatest common factor 5266 and 5274 is 2.

Also check out the Least Common Multiple of 5266 and 5274

Properties of GCF 5266 and 5274

(i) The GCF of 5266 and 5274 is associative

GCF of 5266 and 5274 = GCF of 5274 and 5266

Related Greatest Common Factor of 5266

Related Greatest Common Factor of 5274

Frequently Asked Questions on GCF of 5266 and 5274

1. What is the GCF of 5266 and 5274?

Answer: GCF of 5266 and 5274 is 2.

2. What are the Factors of 5266?

Answer: Factors of 5266 are 1, 2, 2633, 5266. There are 4 integers that are factors of 5266. The greatest factor of 5266 is 5266.

3. 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.

4. How to Find the GCF of 5266 and 5274?

Answer:

Greatest Common Factor of 5266 and 5274 = 2

Step 1: Find the prime factorization of 5266

5266 = 2 x 2633

Step 2: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

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 5266 and 5274 is 2