Greatest Common Factor of 10082 and 10090

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, 10090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10082 and 10090 is 2.

GCF(10082,10090) = 2

GCF of 10082 and 10090

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

GCF of:
and

Greatest Common Factor of 10082 and 10090

GCF of 10082 and 10090 is 2

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 10090


2 10090
5 5045
1009 1009
1

Prime factors of 10090 are 2,5,1009. Prime factorization of 10090 in exponential form is:

10090 = 21×51×10091

∴ So by taking common prime factors GCF of 10082 and 10090 is 2

Greatest Common Factor of 10082 and 10090 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 10090

List of positive integer factors of 10090 that divides 10090 without a remainder.

1,2,5,10,1009,2018,5045,10090

Greatest Common Factor

We found the factors and prime factorization of 10082 and 10090. The biggest common factor number is the GCF number.
So the greatest common factor 10082 and 10090 is 2.

Also check out the Least Common Multiple of 10082 and 10090

Properties of GCF 10082 and 10090

(i) The GCF of 10082 and 10090 is associative

GCF of 10082 and 10090 = GCF of 10090 and 10082

Related Greatest Common Factor of 10082

Related Greatest Common Factor of 10090

Frequently Asked Questions on GCF of 10082 and 10090

1. What is the GCF of 10082 and 10090?

Answer: GCF of 10082 and 10090 is 2.

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 10090?

Answer: Factors of 10090 are 1, 2, 5, 10, 1009, 2018, 5045, 10090. There are 8 integers that are factors of 10090. The greatest factor of 10090 is 10090.

4. How to Find the GCF of 10082 and 10090?

Answer:

Greatest Common Factor of 10082 and 10090 = 2

Step 1: Find the prime factorization of 10082

10082 = 2 x 71 x 71

Step 2: Find the prime factorization of 10090

10090 = 2 x 5 x 1009

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10082 and 10090 is 2