Greatest Common Factor of 9068 and 9074

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 9068, 9074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9068 and 9074 is 2.

GCF(9068,9074) = 2

GCF of 9068 and 9074

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

GCF of:
and

Greatest Common Factor of 9068 and 9074

GCF of 9068 and 9074 is 2

Prime Factorization of 9068


2 9068
2 4534
2267 2267
1

Prime factors of 9068 are 2,2267. Prime factorization of 9068 in exponential form is:

9068 = 22×22671

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

∴ So by taking common prime factors GCF of 9068 and 9074 is 2

Greatest Common Factor of 9068 and 9074 by matching factors method

Factors of 9068

List of positive integer factors of 9068 that divides 9068 without a remainder.

1,2,4,2267,4534,9068

Factors of 9074

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

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

Greatest Common Factor

We found the factors and prime factorization of 9068 and 9074. The biggest common factor number is the GCF number.
So the greatest common factor 9068 and 9074 is 2.

Also check out the Least Common Multiple of 9068 and 9074

Properties of GCF 9068 and 9074

(i) The GCF of 9068 and 9074 is associative

GCF of 9068 and 9074 = GCF of 9074 and 9068

Related Greatest Common Factor of 9068

Related Greatest Common Factor of 9074

Frequently Asked Questions on GCF of 9068 and 9074

1. What is the GCF of 9068 and 9074?

Answer: GCF of 9068 and 9074 is 2.

2. What are the Factors of 9068?

Answer: Factors of 9068 are 1, 2, 4, 2267, 4534, 9068. There are 6 integers that are factors of 9068. The greatest factor of 9068 is 9068.

3. 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.

4. How to Find the GCF of 9068 and 9074?

Answer:

Greatest Common Factor of 9068 and 9074 = 2

Step 1: Find the prime factorization of 9068

9068 = 2 x 2 x 2267

Step 2: Find the prime factorization of 9074

9074 = 2 x 13 x 349

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 9068 and 9074 is 2