Greatest Common Factor of 9035 and 9040

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 9035, 9040 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9035 and 9040 is 5.

GCF(9035,9040) = 5

GCF of 9035 and 9040

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

GCF of:
and

Greatest Common Factor of 9035 and 9040

GCF of 9035 and 9040 is 5

Prime Factorization of 9035


5 9035
13 1807
139 139
1

Prime factors of 9035 are 5,13,139. Prime factorization of 9035 in exponential form is:

9035 = 51×131×1391

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

∴ So by taking common prime factors GCF of 9035 and 9040 is 5

Greatest Common Factor of 9035 and 9040 by matching factors method

Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1,5,13,65,139,695,1807,9035

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

Greatest Common Factor

We found the factors and prime factorization of 9035 and 9040. The biggest common factor number is the GCF number.
So the greatest common factor 9035 and 9040 is 5.

Also check out the Least Common Multiple of 9035 and 9040

Properties of GCF 9035 and 9040

(i) The GCF of 9035 and 9040 is associative

GCF of 9035 and 9040 = GCF of 9040 and 9035

Related Greatest Common Factor of 9035

Related Greatest Common Factor of 9040

Frequently Asked Questions on GCF of 9035 and 9040

1. What is the GCF of 9035 and 9040?

Answer: GCF of 9035 and 9040 is 5.

2. What are the Factors of 9035?

Answer: Factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035. There are 8 integers that are factors of 9035. The greatest factor of 9035 is 9035.

3. 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.

4. How to Find the GCF of 9035 and 9040?

Answer:

Greatest Common Factor of 9035 and 9040 = 5

Step 1: Find the prime factorization of 9035

9035 = 5 x 13 x 139

Step 2: Find the prime factorization of 9040

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9035 and 9040 is 5