Greatest Common Factor of 1500 and 1501

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, 1501 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1500 and 1501 is 1.

GCF(1500,1501) = 1

GCF of 1500 and 1501

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

GCF of:
and

Greatest Common Factor of 1500 and 1501

GCF of 1500 and 1501 is 1

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 1501


19 1501
79 79
1

Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:

1501 = 191×791

∴ So by taking common prime factors GCF of 1500 and 1501 is 1

Greatest Common Factor of 1500 and 1501 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 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1,19,79,1501

Greatest Common Factor

We found the factors and prime factorization of 1500 and 1501. The biggest common factor number is the GCF number.
So the greatest common factor 1500 and 1501 is 1.

Also check out the Least Common Multiple of 1500 and 1501

Properties of GCF 1500 and 1501

(i) The GCF of 1500 and 1501 is associative

GCF of 1500 and 1501 = GCF of 1501 and 1500

Related Greatest Common Factor of 1500

Related Greatest Common Factor of 1501

Frequently Asked Questions on GCF of 1500 and 1501

1. What is the GCF of 1500 and 1501?

Answer: GCF of 1500 and 1501 is 1.

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 1501?

Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.

4. How to Find the GCF of 1500 and 1501?

Answer:

Greatest Common Factor of 1500 and 1501 = 1

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 1501

1501 = 19 x 79

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1500 and 1501 is 1