Greatest Common Factor of 9058 and 9062

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 9058, 9062 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9058 and 9062 is 2.

GCF(9058,9062) = 2

GCF of 9058 and 9062

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

GCF of:
and

Greatest Common Factor of 9058 and 9062

GCF of 9058 and 9062 is 2

Prime Factorization of 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2,7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

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

∴ So by taking common prime factors GCF of 9058 and 9062 is 2

Greatest Common Factor of 9058 and 9062 by matching factors method

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1,2,7,14,647,1294,4529,9058

Factors of 9062

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

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

Greatest Common Factor

We found the factors and prime factorization of 9058 and 9062. The biggest common factor number is the GCF number.
So the greatest common factor 9058 and 9062 is 2.

Also check out the Least Common Multiple of 9058 and 9062

Properties of GCF 9058 and 9062

(i) The GCF of 9058 and 9062 is associative

GCF of 9058 and 9062 = GCF of 9062 and 9058

Related Greatest Common Factor of 9058

Related Greatest Common Factor of 9062

Frequently Asked Questions on GCF of 9058 and 9062

1. What is the GCF of 9058 and 9062?

Answer: GCF of 9058 and 9062 is 2.

2. What are the Factors of 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

3. 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.

4. How to Find the GCF of 9058 and 9062?

Answer:

Greatest Common Factor of 9058 and 9062 = 2

Step 1: Find the prime factorization of 9058

9058 = 2 x 7 x 647

Step 2: Find the prime factorization of 9062

9062 = 2 x 23 x 197

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 9058 and 9062 is 2