Greatest Common Factor of 1500 and 1506

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 1500, 1506 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1500 and 1506 is 6.

GCF(1500,1506) = 6

GCF of 1500 and 1506

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

GCF of:
and

Greatest Common Factor of 1500 and 1506

GCF of 1500 and 1506 is 6

Prime Factorization of 1500


2 1500
2 750
3 375
5 125
5 25
5 5
1

Prime factors of 1500 are 2,3,5. Prime factorization of 1500 in exponential form is:

1500 = 22×31×53

Prime Factorization of 1506


2 1506
3 753
251 251
1

Prime factors of 1506 are 2,3,251. Prime factorization of 1506 in exponential form is:

1506 = 21×31×2511

∴ So by taking common prime factors GCF of 1500 and 1506 is 6

Greatest Common Factor of 1500 and 1506 by matching factors method

Factors of 1500

List of positive integer factors of 1500 that divides 1500 without a remainder.

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

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors and prime factorization of 1500 and 1506. The biggest common factor number is the GCF number.
So the greatest common factor 1500 and 1506 is 6.

Also check out the Least Common Multiple of 1500 and 1506

Properties of GCF 1500 and 1506

(i) The GCF of 1500 and 1506 is associative

GCF of 1500 and 1506 = GCF of 1506 and 1500

Related Greatest Common Factor of 1500

Related Greatest Common Factor of 1506

Frequently Asked Questions on GCF of 1500 and 1506

1. What is the GCF of 1500 and 1506?

Answer: GCF of 1500 and 1506 is 6.

2. What are the Factors of 1500?

Answer: Factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. There are 24 integers that are factors of 1500. The greatest factor of 1500 is 1500.

3. What are the Factors of 1506?

Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.

4. How to Find the GCF of 1500 and 1506?

Answer:

Greatest Common Factor of 1500 and 1506 = 6

Step 1: Find the prime factorization of 1500

1500 = 2 x 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1506

1506 = 2 x 3 x 251

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 1500 and 1506 is 6