Greatest Common Factor of 9076 and 9082

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 9076, 9082 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9076 and 9082 is 2.

GCF(9076,9082) = 2

GCF of 9076 and 9082

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

GCF of:
and

Greatest Common Factor of 9076 and 9082

GCF of 9076 and 9082 is 2

Prime Factorization of 9076


2 9076
2 4538
2269 2269
1

Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:

9076 = 22×22691

Prime Factorization of 9082


2 9082
19 4541
239 239
1

Prime factors of 9082 are 2,19,239. Prime factorization of 9082 in exponential form is:

9082 = 21×191×2391

∴ So by taking common prime factors GCF of 9076 and 9082 is 2

Greatest Common Factor of 9076 and 9082 by matching factors method

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Factors of 9082

List of positive integer factors of 9082 that divides 9082 without a remainder.

1,2,19,38,239,478,4541,9082

Greatest Common Factor

We found the factors and prime factorization of 9076 and 9082. The biggest common factor number is the GCF number.
So the greatest common factor 9076 and 9082 is 2.

Also check out the Least Common Multiple of 9076 and 9082

Properties of GCF 9076 and 9082

(i) The GCF of 9076 and 9082 is associative

GCF of 9076 and 9082 = GCF of 9082 and 9076

Related Greatest Common Factor of 9076

Related Greatest Common Factor of 9082

Frequently Asked Questions on GCF of 9076 and 9082

1. What is the GCF of 9076 and 9082?

Answer: GCF of 9076 and 9082 is 2.

2. What are the Factors of 9076?

Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.

3. What are the Factors of 9082?

Answer: Factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082. There are 8 integers that are factors of 9082. The greatest factor of 9082 is 9082.

4. How to Find the GCF of 9076 and 9082?

Answer:

Greatest Common Factor of 9076 and 9082 = 2

Step 1: Find the prime factorization of 9076

9076 = 2 x 2 x 2269

Step 2: Find the prime factorization of 9082

9082 = 2 x 19 x 239

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 9076 and 9082 is 2