Greatest Common Factor of 10082 and 10089

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 10082, 10089 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10082 and 10089 is 1.

GCF(10082,10089) = 1

GCF of 10082 and 10089

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

GCF of:
and

Greatest Common Factor of 10082 and 10089

GCF of 10082 and 10089 is 1

Prime Factorization of 10082


2 10082
71 5041
71 71
1

Prime factors of 10082 are 2,71. Prime factorization of 10082 in exponential form is:

10082 = 21×712

Prime Factorization of 10089


3 10089
3 3363
19 1121
59 59
1

Prime factors of 10089 are 3,19,59. Prime factorization of 10089 in exponential form is:

10089 = 32×191×591

∴ So by taking common prime factors GCF of 10082 and 10089 is 1

Greatest Common Factor of 10082 and 10089 by matching factors method

Factors of 10082

List of positive integer factors of 10082 that divides 10082 without a remainder.

1,2,71,142,5041,10082

Factors of 10089

List of positive integer factors of 10089 that divides 10089 without a remainder.

1,3,9,19,57,59,171,177,531,1121,3363,10089

Greatest Common Factor

We found the factors and prime factorization of 10082 and 10089. The biggest common factor number is the GCF number.
So the greatest common factor 10082 and 10089 is 1.

Also check out the Least Common Multiple of 10082 and 10089

Properties of GCF 10082 and 10089

(i) The GCF of 10082 and 10089 is associative

GCF of 10082 and 10089 = GCF of 10089 and 10082

Related Greatest Common Factor of 10082

Related Greatest Common Factor of 10089

Frequently Asked Questions on GCF of 10082 and 10089

1. What is the GCF of 10082 and 10089?

Answer: GCF of 10082 and 10089 is 1.

2. What are the Factors of 10082?

Answer: Factors of 10082 are 1, 2, 71, 142, 5041, 10082. There are 6 integers that are factors of 10082. The greatest factor of 10082 is 10082.

3. What are the Factors of 10089?

Answer: Factors of 10089 are 1, 3, 9, 19, 57, 59, 171, 177, 531, 1121, 3363, 10089. There are 12 integers that are factors of 10089. The greatest factor of 10089 is 10089.

4. How to Find the GCF of 10082 and 10089?

Answer:

Greatest Common Factor of 10082 and 10089 = 1

Step 1: Find the prime factorization of 10082

10082 = 2 x 71 x 71

Step 2: Find the prime factorization of 10089

10089 = 3 x 3 x 19 x 59

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 10082 and 10089 is 1