Greatest Common Factor of 5274 and 5277

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, 5277 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5274 and 5277 is 3.

GCF(5274,5277) = 3

GCF of 5274 and 5277

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

GCF of:
and

Greatest Common Factor of 5274 and 5277

GCF of 5274 and 5277 is 3

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 5277


3 5277
1759 1759
1

Prime factors of 5277 are 3,1759. Prime factorization of 5277 in exponential form is:

5277 = 31×17591

∴ So by taking common prime factors GCF of 5274 and 5277 is 3

Greatest Common Factor of 5274 and 5277 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 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1,3,1759,5277

Greatest Common Factor

We found the factors and prime factorization of 5274 and 5277. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5277 is 3.

Also check out the Least Common Multiple of 5274 and 5277

Properties of GCF 5274 and 5277

(i) The GCF of 5274 and 5277 is associative

GCF of 5274 and 5277 = GCF of 5277 and 5274

Related Greatest Common Factor of 5274

Related Greatest Common Factor of 5277

Frequently Asked Questions on GCF of 5274 and 5277

1. What is the GCF of 5274 and 5277?

Answer: GCF of 5274 and 5277 is 3.

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 5277?

Answer: Factors of 5277 are 1, 3, 1759, 5277. There are 4 integers that are factors of 5277. The greatest factor of 5277 is 5277.

4. How to Find the GCF of 5274 and 5277?

Answer:

Greatest Common Factor of 5274 and 5277 = 3

Step 1: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

Step 2: Find the prime factorization of 5277

5277 = 3 x 1759

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5274 and 5277 is 3