Greatest Common Factor of 1498 and 1503

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, 1503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1498 and 1503 is 1.

GCF(1498,1503) = 1

GCF of 1498 and 1503

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

GCF of:
and

Greatest Common Factor of 1498 and 1503

GCF of 1498 and 1503 is 1

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 1503


3 1503
3 501
167 167
1

Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:

1503 = 32×1671

∴ So by taking common prime factors GCF of 1498 and 1503 is 1

Greatest Common Factor of 1498 and 1503 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 1503

List of positive integer factors of 1503 that divides 1503 without a remainder.

1,3,9,167,501,1503

Greatest Common Factor

We found the factors and prime factorization of 1498 and 1503. The biggest common factor number is the GCF number.
So the greatest common factor 1498 and 1503 is 1.

Also check out the Least Common Multiple of 1498 and 1503

Properties of GCF 1498 and 1503

(i) The GCF of 1498 and 1503 is associative

GCF of 1498 and 1503 = GCF of 1503 and 1498

Related Greatest Common Factor of 1498

Related Greatest Common Factor of 1503

Frequently Asked Questions on GCF of 1498 and 1503

1. What is the GCF of 1498 and 1503?

Answer: GCF of 1498 and 1503 is 1.

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 1503?

Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.

4. How to Find the GCF of 1498 and 1503?

Answer:

Greatest Common Factor of 1498 and 1503 = 1

Step 1: Find the prime factorization of 1498

1498 = 2 x 7 x 107

Step 2: Find the prime factorization of 1503

1503 = 3 x 3 x 167

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 1498 and 1503 is 1