Greatest Common Factor of 10209 and 10217

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 10209, 10217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10209 and 10217 is 1.

GCF(10209,10217) = 1

GCF of 10209 and 10217

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

GCF of:
and

Greatest Common Factor of 10209 and 10217

GCF of 10209 and 10217 is 1

Prime Factorization of 10209


3 10209
41 3403
83 83
1

Prime factors of 10209 are 3,41,83. Prime factorization of 10209 in exponential form is:

10209 = 31×411×831

Prime Factorization of 10217


17 10217
601 601
1

Prime factors of 10217 are 17,601. Prime factorization of 10217 in exponential form is:

10217 = 171×6011

∴ So by taking common prime factors GCF of 10209 and 10217 is 1

Greatest Common Factor of 10209 and 10217 by matching factors method

Factors of 10209

List of positive integer factors of 10209 that divides 10209 without a remainder.

1,3,41,83,123,249,3403,10209

Factors of 10217

List of positive integer factors of 10217 that divides 10217 without a remainder.

1,17,601,10217

Greatest Common Factor

We found the factors and prime factorization of 10209 and 10217. The biggest common factor number is the GCF number.
So the greatest common factor 10209 and 10217 is 1.

Also check out the Least Common Multiple of 10209 and 10217

Properties of GCF 10209 and 10217

(i) The GCF of 10209 and 10217 is associative

GCF of 10209 and 10217 = GCF of 10217 and 10209

Related Greatest Common Factor of 10209

Related Greatest Common Factor of 10217

Frequently Asked Questions on GCF of 10209 and 10217

1. What is the GCF of 10209 and 10217?

Answer: GCF of 10209 and 10217 is 1.

2. What are the Factors of 10209?

Answer: Factors of 10209 are 1, 3, 41, 83, 123, 249, 3403, 10209. There are 8 integers that are factors of 10209. The greatest factor of 10209 is 10209.

3. What are the Factors of 10217?

Answer: Factors of 10217 are 1, 17, 601, 10217. There are 4 integers that are factors of 10217. The greatest factor of 10217 is 10217.

4. How to Find the GCF of 10209 and 10217?

Answer:

Greatest Common Factor of 10209 and 10217 = 1

Step 1: Find the prime factorization of 10209

10209 = 3 x 41 x 83

Step 2: Find the prime factorization of 10217

10217 = 17 x 601

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 10209 and 10217 is 1