Greatest Common Factor of 7480 and 7485

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, 7485 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7480 and 7485 is 5.

GCF(7480,7485) = 5

GCF of 7480 and 7485

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

GCF of:
and

Greatest Common Factor of 7480 and 7485

GCF of 7480 and 7485 is 5

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 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3,5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

∴ So by taking common prime factors GCF of 7480 and 7485 is 5

Greatest Common Factor of 7480 and 7485 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 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1,3,5,15,499,1497,2495,7485

Greatest Common Factor

We found the factors and prime factorization of 7480 and 7485. The biggest common factor number is the GCF number.
So the greatest common factor 7480 and 7485 is 5.

Also check out the Least Common Multiple of 7480 and 7485

Properties of GCF 7480 and 7485

(i) The GCF of 7480 and 7485 is associative

GCF of 7480 and 7485 = GCF of 7485 and 7480

Related Greatest Common Factor of 7480

Related Greatest Common Factor of 7485

Frequently Asked Questions on GCF of 7480 and 7485

1. What is the GCF of 7480 and 7485?

Answer: GCF of 7480 and 7485 is 5.

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 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

4. How to Find the GCF of 7480 and 7485?

Answer:

Greatest Common Factor of 7480 and 7485 = 5

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 7485

7485 = 3 x 5 x 499

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 7480 and 7485 is 5