Greatest Common Factor of 1493 and 1500

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 1493, 1500 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1493 and 1500 is 1.

GCF(1493,1500) = 1

GCF of 1493 and 1500

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

GCF of:
and

Greatest Common Factor of 1493 and 1500

GCF of 1493 and 1500 is 1

Prime Factorization of 1493


1493 1493
1

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 14931

Prime Factorization of 1500


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

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

1500 = 22×31×53

∴ So by taking common prime factors GCF of 1493 and 1500 is 1

Greatest Common Factor of 1493 and 1500 by matching factors method

Factors of 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1,1493

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

Greatest Common Factor

We found the factors and prime factorization of 1493 and 1500. The biggest common factor number is the GCF number.
So the greatest common factor 1493 and 1500 is 1.

Also check out the Least Common Multiple of 1493 and 1500

Properties of GCF 1493 and 1500

(i) The GCF of 1493 and 1500 is associative

GCF of 1493 and 1500 = GCF of 1500 and 1493

Related Greatest Common Factor of 1493

Related Greatest Common Factor of 1500

Frequently Asked Questions on GCF of 1493 and 1500

1. What is the GCF of 1493 and 1500?

Answer: GCF of 1493 and 1500 is 1.

2. What are the Factors of 1493?

Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.

3. 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.

4. How to Find the GCF of 1493 and 1500?

Answer:

Greatest Common Factor of 1493 and 1500 = 1

Step 1: Find the prime factorization of 1493

1493 = 1493

Step 2: Find the prime factorization of 1500

1500 = 2 x 2 x 3 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 = = 1

Step 4: Therefore, the greatest common factor of 1493 and 1500 is 1