Greatest Common Factor of 9074 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 9074, 9082 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9074 and 9082 is 2.

GCF(9074,9082) = 2

GCF of 9074 and 9082

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

GCF of:
and

Greatest Common Factor of 9074 and 9082

GCF of 9074 and 9082 is 2

Prime Factorization of 9074


2 9074
13 4537
349 349
1

Prime factors of 9074 are 2,13,349. Prime factorization of 9074 in exponential form is:

9074 = 21×131×3491

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 9074 and 9082 is 2

Greatest Common Factor of 9074 and 9082 by matching factors method

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1,2,13,26,349,698,4537,9074

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 9074 and 9082. The biggest common factor number is the GCF number.
So the greatest common factor 9074 and 9082 is 2.

Also check out the Least Common Multiple of 9074 and 9082

Properties of GCF 9074 and 9082

(i) The GCF of 9074 and 9082 is associative

GCF of 9074 and 9082 = GCF of 9082 and 9074

Related Greatest Common Factor of 9074

Related Greatest Common Factor of 9082

Frequently Asked Questions on GCF of 9074 and 9082

1. What is the GCF of 9074 and 9082?

Answer: GCF of 9074 and 9082 is 2.

2. What are the Factors of 9074?

Answer: Factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074. There are 8 integers that are factors of 9074. The greatest factor of 9074 is 9074.

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 9074 and 9082?

Answer:

Greatest Common Factor of 9074 and 9082 = 2

Step 1: Find the prime factorization of 9074

9074 = 2 x 13 x 349

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 9074 and 9082 is 2