Greatest Common Factor of 9042 and 9046

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 9042, 9046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9042 and 9046 is 2.

GCF(9042,9046) = 2

GCF of 9042 and 9046

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

GCF of:
and

Greatest Common Factor of 9042 and 9046

GCF of 9042 and 9046 is 2

Prime Factorization of 9042


2 9042
3 4521
11 1507
137 137
1

Prime factors of 9042 are 2,3,11,137. Prime factorization of 9042 in exponential form is:

9042 = 21×31×111×1371

Prime Factorization of 9046


2 9046
4523 4523
1

Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:

9046 = 21×45231

∴ So by taking common prime factors GCF of 9042 and 9046 is 2

Greatest Common Factor of 9042 and 9046 by matching factors method

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Factors of 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1,2,4523,9046

Greatest Common Factor

We found the factors and prime factorization of 9042 and 9046. The biggest common factor number is the GCF number.
So the greatest common factor 9042 and 9046 is 2.

Also check out the Least Common Multiple of 9042 and 9046

Properties of GCF 9042 and 9046

(i) The GCF of 9042 and 9046 is associative

GCF of 9042 and 9046 = GCF of 9046 and 9042

Related Greatest Common Factor of 9042

Related Greatest Common Factor of 9046

Frequently Asked Questions on GCF of 9042 and 9046

1. What is the GCF of 9042 and 9046?

Answer: GCF of 9042 and 9046 is 2.

2. What are the Factors of 9042?

Answer: Factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042. There are 16 integers that are factors of 9042. The greatest factor of 9042 is 9042.

3. What are the Factors of 9046?

Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.

4. How to Find the GCF of 9042 and 9046?

Answer:

Greatest Common Factor of 9042 and 9046 = 2

Step 1: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

Step 2: Find the prime factorization of 9046

9046 = 2 x 4523

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 9042 and 9046 is 2