Greatest Common Factor of 1498 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 1498, 1500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1498 and 1500 is 2.

GCF(1498,1500) = 2

GCF of 1498 and 1500

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

GCF of:
and

Greatest Common Factor of 1498 and 1500

GCF of 1498 and 1500 is 2

Prime Factorization of 1498


2 1498
7 749
107 107
1

Prime factors of 1498 are 2,7,107. Prime factorization of 1498 in exponential form is:

1498 = 21×71×1071

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

∴ So by taking common prime factors GCF of 1498 and 1500 is 2

Greatest Common Factor of 1498 and 1500 by matching factors method

Factors of 1498

List of positive integer factors of 1498 that divides 1498 without a remainder.

1,2,7,14,107,214,749,1498

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 1498 and 1500. The biggest common factor number is the GCF number.
So the greatest common factor 1498 and 1500 is 2.

Also check out the Least Common Multiple of 1498 and 1500

Properties of GCF 1498 and 1500

(i) The GCF of 1498 and 1500 is associative

GCF of 1498 and 1500 = GCF of 1500 and 1498

Related Greatest Common Factor of 1498

Related Greatest Common Factor of 1500

Frequently Asked Questions on GCF of 1498 and 1500

1. What is the GCF of 1498 and 1500?

Answer: GCF of 1498 and 1500 is 2.

2. What are the Factors of 1498?

Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.

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 1498 and 1500?

Answer:

Greatest Common Factor of 1498 and 1500 = 2

Step 1: Find the prime factorization of 1498

1498 = 2 x 7 x 107

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 = 2

Step 4: Therefore, the greatest common factor of 1498 and 1500 is 2