Greatest Common Factor of 17283 and 17290

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 17283, 17290 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17283 and 17290 is 7.

GCF(17283,17290) = 7

GCF of 17283 and 17290

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

GCF of:
and

Greatest Common Factor of 17283 and 17290

GCF of 17283 and 17290 is 7

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

Prime Factorization of 17290


2 17290
5 8645
7 1729
13 247
19 19
1

Prime factors of 17290 are 2,5,7,13,19. Prime factorization of 17290 in exponential form is:

17290 = 21×51×71×131×191

∴ So by taking common prime factors GCF of 17283 and 17290 is 7

Greatest Common Factor of 17283 and 17290 by matching factors method

Factors of 17283

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

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

Factors of 17290

List of positive integer factors of 17290 that divides 17290 without a remainder.

1,2,5,7,10,13,14,19,26,35,38,65,70,91,95,130,133,182,190,247,266,455,494,665,910,1235,1330,1729,2470,3458,8645,17290

Greatest Common Factor

We found the factors and prime factorization of 17283 and 17290. The biggest common factor number is the GCF number.
So the greatest common factor 17283 and 17290 is 7.

Also check out the Least Common Multiple of 17283 and 17290

Properties of GCF 17283 and 17290

(i) The GCF of 17283 and 17290 is associative

GCF of 17283 and 17290 = GCF of 17290 and 17283

Related Greatest Common Factor of 17283

Related Greatest Common Factor of 17290

Frequently Asked Questions on GCF of 17283 and 17290

1. What is the GCF of 17283 and 17290?

Answer: GCF of 17283 and 17290 is 7.

2. 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.

3. What are the Factors of 17290?

Answer: Factors of 17290 are 1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290. There are 32 integers that are factors of 17290. The greatest factor of 17290 is 17290.

4. How to Find the GCF of 17283 and 17290?

Answer:

Greatest Common Factor of 17283 and 17290 = 7

Step 1: Find the prime factorization of 17283

17283 = 3 x 7 x 823

Step 2: Find the prime factorization of 17290

17290 = 2 x 5 x 7 x 13 x 19

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

GCF = 7

Step 4: Therefore, the greatest common factor of 17283 and 17290 is 7