Greatest Common Factor of 7035 and 7040

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 7035, 7040 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7035 and 7040 is 5.

GCF(7035,7040) = 5

GCF of 7035 and 7040

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

GCF of:
and

Greatest Common Factor of 7035 and 7040

GCF of 7035 and 7040 is 5

Prime Factorization of 7035


3 7035
5 2345
7 469
67 67
1

Prime factors of 7035 are 3,5,7,67. Prime factorization of 7035 in exponential form is:

7035 = 31×51×71×671

Prime Factorization of 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2,5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

∴ So by taking common prime factors GCF of 7035 and 7040 is 5

Greatest Common Factor of 7035 and 7040 by matching factors method

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Greatest Common Factor

We found the factors and prime factorization of 7035 and 7040. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7040 is 5.

Also check out the Least Common Multiple of 7035 and 7040

Properties of GCF 7035 and 7040

(i) The GCF of 7035 and 7040 is associative

GCF of 7035 and 7040 = GCF of 7040 and 7035

Related Greatest Common Factor of 7035

Related Greatest Common Factor of 7040

Frequently Asked Questions on GCF of 7035 and 7040

1. What is the GCF of 7035 and 7040?

Answer: GCF of 7035 and 7040 is 5.

2. What are the Factors of 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

3. What are the Factors of 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

4. How to Find the GCF of 7035 and 7040?

Answer:

Greatest Common Factor of 7035 and 7040 = 5

Step 1: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

Step 2: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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 7035 and 7040 is 5