Greatest Common Factor of 9040 and 9042

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 9040, 9042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9040 and 9042 is 2.

GCF(9040,9042) = 2

GCF of 9040 and 9042

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

GCF of:
and

Greatest Common Factor of 9040 and 9042

GCF of 9040 and 9042 is 2

Prime Factorization of 9040


2 9040
2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 9040 are 2,5,113. Prime factorization of 9040 in exponential form is:

9040 = 24×51×1131

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

∴ So by taking common prime factors GCF of 9040 and 9042 is 2

Greatest Common Factor of 9040 and 9042 by matching factors method

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

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

Greatest Common Factor

We found the factors and prime factorization of 9040 and 9042. The biggest common factor number is the GCF number.
So the greatest common factor 9040 and 9042 is 2.

Also check out the Least Common Multiple of 9040 and 9042

Properties of GCF 9040 and 9042

(i) The GCF of 9040 and 9042 is associative

GCF of 9040 and 9042 = GCF of 9042 and 9040

Related Greatest Common Factor of 9040

Related Greatest Common Factor of 9042

Frequently Asked Questions on GCF of 9040 and 9042

1. What is the GCF of 9040 and 9042?

Answer: GCF of 9040 and 9042 is 2.

2. What are the Factors of 9040?

Answer: Factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040. There are 20 integers that are factors of 9040. The greatest factor of 9040 is 9040.

3. 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.

4. How to Find the GCF of 9040 and 9042?

Answer:

Greatest Common Factor of 9040 and 9042 = 2

Step 1: Find the prime factorization of 9040

9040 = 2 x 2 x 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 9042

9042 = 2 x 3 x 11 x 137

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 9040 and 9042 is 2