Greatest Common Factor of 5277 and 5283

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 5277, 5283 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5277 and 5283 is 3.

GCF(5277,5283) = 3

GCF of 5277 and 5283

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

GCF of:
and

Greatest Common Factor of 5277 and 5283

GCF of 5277 and 5283 is 3

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

Prime Factorization of 5283


3 5283
3 1761
587 587
1

Prime factors of 5283 are 3,587. Prime factorization of 5283 in exponential form is:

5283 = 32×5871

∴ So by taking common prime factors GCF of 5277 and 5283 is 3

Greatest Common Factor of 5277 and 5283 by matching factors method

Factors of 5277

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

1,3,1759,5277

Factors of 5283

List of positive integer factors of 5283 that divides 5283 without a remainder.

1,3,9,587,1761,5283

Greatest Common Factor

We found the factors and prime factorization of 5277 and 5283. The biggest common factor number is the GCF number.
So the greatest common factor 5277 and 5283 is 3.

Also check out the Least Common Multiple of 5277 and 5283

Properties of GCF 5277 and 5283

(i) The GCF of 5277 and 5283 is associative

GCF of 5277 and 5283 = GCF of 5283 and 5277

Related Greatest Common Factor of 5277

Related Greatest Common Factor of 5283

Frequently Asked Questions on GCF of 5277 and 5283

1. What is the GCF of 5277 and 5283?

Answer: GCF of 5277 and 5283 is 3.

2. 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.

3. What are the Factors of 5283?

Answer: Factors of 5283 are 1, 3, 9, 587, 1761, 5283. There are 6 integers that are factors of 5283. The greatest factor of 5283 is 5283.

4. How to Find the GCF of 5277 and 5283?

Answer:

Greatest Common Factor of 5277 and 5283 = 3

Step 1: Find the prime factorization of 5277

5277 = 3 x 1759

Step 2: Find the prime factorization of 5283

5283 = 3 x 3 x 587

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 5277 and 5283 is 3