Greatest Common Factor of 10202 and 10209

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 10202, 10209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10202 and 10209 is 1.

GCF(10202,10209) = 1

GCF of 10202 and 10209

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

GCF of:
and

Greatest Common Factor of 10202 and 10209

GCF of 10202 and 10209 is 1

Prime Factorization of 10202


2 10202
5101 5101
1

Prime factors of 10202 are 2,5101. Prime factorization of 10202 in exponential form is:

10202 = 21×51011

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

∴ So by taking common prime factors GCF of 10202 and 10209 is 1

Greatest Common Factor of 10202 and 10209 by matching factors method

Factors of 10202

List of positive integer factors of 10202 that divides 10202 without a remainder.

1,2,5101,10202

Factors of 10209

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

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

Greatest Common Factor

We found the factors and prime factorization of 10202 and 10209. The biggest common factor number is the GCF number.
So the greatest common factor 10202 and 10209 is 1.

Also check out the Least Common Multiple of 10202 and 10209

Properties of GCF 10202 and 10209

(i) The GCF of 10202 and 10209 is associative

GCF of 10202 and 10209 = GCF of 10209 and 10202

Related Greatest Common Factor of 10202

Related Greatest Common Factor of 10209

Frequently Asked Questions on GCF of 10202 and 10209

1. What is the GCF of 10202 and 10209?

Answer: GCF of 10202 and 10209 is 1.

2. What are the Factors of 10202?

Answer: Factors of 10202 are 1, 2, 5101, 10202. There are 4 integers that are factors of 10202. The greatest factor of 10202 is 10202.

3. 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.

4. How to Find the GCF of 10202 and 10209?

Answer:

Greatest Common Factor of 10202 and 10209 = 1

Step 1: Find the prime factorization of 10202

10202 = 2 x 5101

Step 2: Find the prime factorization of 10209

10209 = 3 x 41 x 83

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 10202 and 10209 is 1