Greatest Common Factor of 7040 and 7044

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 7040, 7044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7040 and 7044 is 4.

GCF(7040,7044) = 4

GCF of 7040 and 7044

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

GCF of:
and

Greatest Common Factor of 7040 and 7044

GCF of 7040 and 7044 is 4

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

Prime Factorization of 7044


2 7044
2 3522
3 1761
587 587
1

Prime factors of 7044 are 2,3,587. Prime factorization of 7044 in exponential form is:

7044 = 22×31×5871

∴ So by taking common prime factors GCF of 7040 and 7044 is 4

Greatest Common Factor of 7040 and 7044 by matching factors method

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

Factors of 7044

List of positive integer factors of 7044 that divides 7044 without a remainder.

1,2,3,4,6,12,587,1174,1761,2348,3522,7044

Greatest Common Factor

We found the factors and prime factorization of 7040 and 7044. The biggest common factor number is the GCF number.
So the greatest common factor 7040 and 7044 is 4.

Also check out the Least Common Multiple of 7040 and 7044

Properties of GCF 7040 and 7044

(i) The GCF of 7040 and 7044 is associative

GCF of 7040 and 7044 = GCF of 7044 and 7040

Related Greatest Common Factor of 7040

Related Greatest Common Factor of 7044

Frequently Asked Questions on GCF of 7040 and 7044

1. What is the GCF of 7040 and 7044?

Answer: GCF of 7040 and 7044 is 4.

2. 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.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. How to Find the GCF of 7040 and 7044?

Answer:

Greatest Common Factor of 7040 and 7044 = 4

Step 1: 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 2: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7040 and 7044 is 4