Greatest Common Factor of 7494 and 7500

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 7494, 7500 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7494 and 7500 is 6.

GCF(7494,7500) = 6

GCF of 7494 and 7500

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

GCF of:
and

Greatest Common Factor of 7494 and 7500

GCF of 7494 and 7500 is 6

Prime Factorization of 7494


2 7494
3 3747
1249 1249
1

Prime factors of 7494 are 2,3,1249. Prime factorization of 7494 in exponential form is:

7494 = 21×31×12491

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

∴ So by taking common prime factors GCF of 7494 and 7500 is 6

Greatest Common Factor of 7494 and 7500 by matching factors method

Factors of 7494

List of positive integer factors of 7494 that divides 7494 without a remainder.

1,2,3,6,1249,2498,3747,7494

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

Greatest Common Factor

We found the factors and prime factorization of 7494 and 7500. The biggest common factor number is the GCF number.
So the greatest common factor 7494 and 7500 is 6.

Also check out the Least Common Multiple of 7494 and 7500

Properties of GCF 7494 and 7500

(i) The GCF of 7494 and 7500 is associative

GCF of 7494 and 7500 = GCF of 7500 and 7494

Related Greatest Common Factor of 7494

Related Greatest Common Factor of 7500

Frequently Asked Questions on GCF of 7494 and 7500

1. What is the GCF of 7494 and 7500?

Answer: GCF of 7494 and 7500 is 6.

2. What are the Factors of 7494?

Answer: Factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494. There are 8 integers that are factors of 7494. The greatest factor of 7494 is 7494.

3. 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.

4. How to Find the GCF of 7494 and 7500?

Answer:

Greatest Common Factor of 7494 and 7500 = 6

Step 1: Find the prime factorization of 7494

7494 = 2 x 3 x 1249

Step 2: Find the prime factorization of 7500

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7494 and 7500 is 6