Greatest Common Factor of 9042 and 9049

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, 9049 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9042 and 9049 is 1.

GCF(9042,9049) = 1

GCF of 9042 and 9049

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

GCF of:
and

Greatest Common Factor of 9042 and 9049

GCF of 9042 and 9049 is 1

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 9049


9049 9049
1

Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:

9049 = 90491

∴ So by taking common prime factors GCF of 9042 and 9049 is 1

Greatest Common Factor of 9042 and 9049 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 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Greatest Common Factor

We found the factors and prime factorization of 9042 and 9049. The biggest common factor number is the GCF number.
So the greatest common factor 9042 and 9049 is 1.

Also check out the Least Common Multiple of 9042 and 9049

Properties of GCF 9042 and 9049

(i) The GCF of 9042 and 9049 is associative

GCF of 9042 and 9049 = GCF of 9049 and 9042

Frequently Asked Questions on GCF of 9042 and 9049

1. What is the GCF of 9042 and 9049?

Answer: GCF of 9042 and 9049 is 1.

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 9049?

Answer: Factors of 9049 are 1, 9049. There are 2 integers that are factors of 9049. The greatest factor of 9049 is 9049.

4. How to Find the GCF of 9042 and 9049?

Answer:

Greatest Common Factor of 9042 and 9049 = 1

Step 1: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

Step 2: Find the prime factorization of 9049

9049 = 9049

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9042 and 9049 is 1