Greatest Common Factor of 1500 and 1502

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, 1502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1500 and 1502 is 2.

GCF(1500,1502) = 2

GCF of 1500 and 1502

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

GCF of:
and

Greatest Common Factor of 1500 and 1502

GCF of 1500 and 1502 is 2

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 1502


2 1502
751 751
1

Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:

1502 = 21×7511

∴ So by taking common prime factors GCF of 1500 and 1502 is 2

Greatest Common Factor of 1500 and 1502 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 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1,2,751,1502

Greatest Common Factor

We found the factors and prime factorization of 1500 and 1502. The biggest common factor number is the GCF number.
So the greatest common factor 1500 and 1502 is 2.

Also check out the Least Common Multiple of 1500 and 1502

Properties of GCF 1500 and 1502

(i) The GCF of 1500 and 1502 is associative

GCF of 1500 and 1502 = GCF of 1502 and 1500

Related Greatest Common Factor of 1500

Related Greatest Common Factor of 1502

Frequently Asked Questions on GCF of 1500 and 1502

1. What is the GCF of 1500 and 1502?

Answer: GCF of 1500 and 1502 is 2.

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 1502?

Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.

4. How to Find the GCF of 1500 and 1502?

Answer:

Greatest Common Factor of 1500 and 1502 = 2

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 1502

1502 = 2 x 751

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1500 and 1502 is 2