Greatest Common Factor of 9062 and 9068

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 9062, 9068 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9062 and 9068 is 2.

GCF(9062,9068) = 2

GCF of 9062 and 9068

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

GCF of:
and

Greatest Common Factor of 9062 and 9068

GCF of 9062 and 9068 is 2

Prime Factorization of 9062


2 9062
23 4531
197 197
1

Prime factors of 9062 are 2,23,197. Prime factorization of 9062 in exponential form is:

9062 = 21×231×1971

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

∴ So by taking common prime factors GCF of 9062 and 9068 is 2

Greatest Common Factor of 9062 and 9068 by matching factors method

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1,2,23,46,197,394,4531,9062

Factors of 9068

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

1,2,4,2267,4534,9068

Greatest Common Factor

We found the factors and prime factorization of 9062 and 9068. The biggest common factor number is the GCF number.
So the greatest common factor 9062 and 9068 is 2.

Also check out the Least Common Multiple of 9062 and 9068

Properties of GCF 9062 and 9068

(i) The GCF of 9062 and 9068 is associative

GCF of 9062 and 9068 = GCF of 9068 and 9062

Related Greatest Common Factor of 9062

Related Greatest Common Factor of 9068

Frequently Asked Questions on GCF of 9062 and 9068

1. What is the GCF of 9062 and 9068?

Answer: GCF of 9062 and 9068 is 2.

2. What are the Factors of 9062?

Answer: Factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062. There are 8 integers that are factors of 9062. The greatest factor of 9062 is 9062.

3. 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.

4. How to Find the GCF of 9062 and 9068?

Answer:

Greatest Common Factor of 9062 and 9068 = 2

Step 1: Find the prime factorization of 9062

9062 = 2 x 23 x 197

Step 2: Find the prime factorization of 9068

9068 = 2 x 2 x 2267

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 9062 and 9068 is 2