Greatest Common Factor of 7500 and 7505

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 7500, 7505 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7500 and 7505 is 5.

GCF(7500,7505) = 5

GCF of 7500 and 7505

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

GCF of:
and

Greatest Common Factor of 7500 and 7505

GCF of 7500 and 7505 is 5

Prime Factorization of 7500


2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 7500 are 2,3,5. Prime factorization of 7500 in exponential form is:

7500 = 22×31×54

Prime Factorization of 7505


5 7505
19 1501
79 79
1

Prime factors of 7505 are 5,19,79. Prime factorization of 7505 in exponential form is:

7505 = 51×191×791

∴ So by taking common prime factors GCF of 7500 and 7505 is 5

Greatest Common Factor of 7500 and 7505 by matching factors method

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500

Factors of 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1,5,19,79,95,395,1501,7505

Greatest Common Factor

We found the factors and prime factorization of 7500 and 7505. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7505 is 5.

Also check out the Least Common Multiple of 7500 and 7505

Properties of GCF 7500 and 7505

(i) The GCF of 7500 and 7505 is associative

GCF of 7500 and 7505 = GCF of 7505 and 7500

Related Greatest Common Factor of 7500

Related Greatest Common Factor of 7505

Frequently Asked Questions on GCF of 7500 and 7505

1. What is the GCF of 7500 and 7505?

Answer: GCF of 7500 and 7505 is 5.

2. What are the Factors of 7500?

Answer: Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. There are 30 integers that are factors of 7500. The greatest factor of 7500 is 7500.

3. What are the Factors of 7505?

Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.

4. How to Find the GCF of 7500 and 7505?

Answer:

Greatest Common Factor of 7500 and 7505 = 5

Step 1: Find the prime factorization of 7500

7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 7505

7505 = 5 x 19 x 79

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 7500 and 7505 is 5