Greatest Common Factor of 7500 and 7504

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, 7504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7500 and 7504 is 4.

GCF(7500,7504) = 4

GCF of 7500 and 7504

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

GCF of:
and

Greatest Common Factor of 7500 and 7504

GCF of 7500 and 7504 is 4

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 7504


2 7504
2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 7504 are 2,7,67. Prime factorization of 7504 in exponential form is:

7504 = 24×71×671

∴ So by taking common prime factors GCF of 7500 and 7504 is 4

Greatest Common Factor of 7500 and 7504 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 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors and prime factorization of 7500 and 7504. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7504 is 4.

Also check out the Least Common Multiple of 7500 and 7504

Properties of GCF 7500 and 7504

(i) The GCF of 7500 and 7504 is associative

GCF of 7500 and 7504 = GCF of 7504 and 7500

Related Greatest Common Factor of 7500

Related Greatest Common Factor of 7504

Frequently Asked Questions on GCF of 7500 and 7504

1. What is the GCF of 7500 and 7504?

Answer: GCF of 7500 and 7504 is 4.

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 7504?

Answer: Factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504. There are 20 integers that are factors of 7504. The greatest factor of 7504 is 7504.

4. How to Find the GCF of 7500 and 7504?

Answer:

Greatest Common Factor of 7500 and 7504 = 4

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 7504

7504 = 2 x 2 x 2 x 2 x 7 x 67

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 7500 and 7504 is 4