Greatest Common Factor of 17277 and 17283

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 17277, 17283 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17277 and 17283 is 3.

GCF(17277,17283) = 3

GCF of 17277 and 17283

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

GCF of:
and

Greatest Common Factor of 17277 and 17283

GCF of 17277 and 17283 is 3

Prime Factorization of 17277


3 17277
13 5759
443 443
1

Prime factors of 17277 are 3,13,443. Prime factorization of 17277 in exponential form is:

17277 = 31×131×4431

Prime Factorization of 17283


3 17283
7 5761
823 823
1

Prime factors of 17283 are 3,7,823. Prime factorization of 17283 in exponential form is:

17283 = 31×71×8231

∴ So by taking common prime factors GCF of 17277 and 17283 is 3

Greatest Common Factor of 17277 and 17283 by matching factors method

Factors of 17277

List of positive integer factors of 17277 that divides 17277 without a remainder.

1,3,13,39,443,1329,5759,17277

Factors of 17283

List of positive integer factors of 17283 that divides 17283 without a remainder.

1,3,7,21,823,2469,5761,17283

Greatest Common Factor

We found the factors and prime factorization of 17277 and 17283. The biggest common factor number is the GCF number.
So the greatest common factor 17277 and 17283 is 3.

Also check out the Least Common Multiple of 17277 and 17283

Properties of GCF 17277 and 17283

(i) The GCF of 17277 and 17283 is associative

GCF of 17277 and 17283 = GCF of 17283 and 17277

Related Greatest Common Factor of 17277

Related Greatest Common Factor of 17283

Frequently Asked Questions on GCF of 17277 and 17283

1. What is the GCF of 17277 and 17283?

Answer: GCF of 17277 and 17283 is 3.

2. What are the Factors of 17277?

Answer: Factors of 17277 are 1, 3, 13, 39, 443, 1329, 5759, 17277. There are 8 integers that are factors of 17277. The greatest factor of 17277 is 17277.

3. What are the Factors of 17283?

Answer: Factors of 17283 are 1, 3, 7, 21, 823, 2469, 5761, 17283. There are 8 integers that are factors of 17283. The greatest factor of 17283 is 17283.

4. How to Find the GCF of 17277 and 17283?

Answer:

Greatest Common Factor of 17277 and 17283 = 3

Step 1: Find the prime factorization of 17277

17277 = 3 x 13 x 443

Step 2: Find the prime factorization of 17283

17283 = 3 x 7 x 823

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 17277 and 17283 is 3