Greatest Common Factor of 7480 and 7484

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 7480, 7484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7480 and 7484 is 4.

GCF(7480,7484) = 4

GCF of 7480 and 7484

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

GCF of:
and

Greatest Common Factor of 7480 and 7484

GCF of 7480 and 7484 is 4

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2,5,11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

Prime Factorization of 7484


2 7484
2 3742
1871 1871
1

Prime factors of 7484 are 2,1871. Prime factorization of 7484 in exponential form is:

7484 = 22×18711

∴ So by taking common prime factors GCF of 7480 and 7484 is 4

Greatest Common Factor of 7480 and 7484 by matching factors method

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Greatest Common Factor

We found the factors and prime factorization of 7480 and 7484. The biggest common factor number is the GCF number.
So the greatest common factor 7480 and 7484 is 4.

Also check out the Least Common Multiple of 7480 and 7484

Properties of GCF 7480 and 7484

(i) The GCF of 7480 and 7484 is associative

GCF of 7480 and 7484 = GCF of 7484 and 7480

Related Greatest Common Factor of 7480

Related Greatest Common Factor of 7484

Frequently Asked Questions on GCF of 7480 and 7484

1. What is the GCF of 7480 and 7484?

Answer: GCF of 7480 and 7484 is 4.

2. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

3. What are the Factors of 7484?

Answer: Factors of 7484 are 1, 2, 4, 1871, 3742, 7484. There are 6 integers that are factors of 7484. The greatest factor of 7484 is 7484.

4. How to Find the GCF of 7480 and 7484?

Answer:

Greatest Common Factor of 7480 and 7484 = 4

Step 1: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 7484

7484 = 2 x 2 x 1871

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 7480 and 7484 is 4