Greatest Common Factor of 9498 and 9503

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 9498, 9503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9498 and 9503 is 1.

GCF(9498,9503) = 1

GCF of 9498 and 9503

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

GCF of:
and

Greatest Common Factor of 9498 and 9503

GCF of 9498 and 9503 is 1

Prime Factorization of 9498


2 9498
3 4749
1583 1583
1

Prime factors of 9498 are 2,3,1583. Prime factorization of 9498 in exponential form is:

9498 = 21×31×15831

Prime Factorization of 9503


13 9503
17 731
43 43
1

Prime factors of 9503 are 13,17,43. Prime factorization of 9503 in exponential form is:

9503 = 131×171×431

∴ So by taking common prime factors GCF of 9498 and 9503 is 1

Greatest Common Factor of 9498 and 9503 by matching factors method

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Factors of 9503

List of positive integer factors of 9503 that divides 9503 without a remainder.

1,13,17,43,221,559,731,9503

Greatest Common Factor

We found the factors and prime factorization of 9498 and 9503. The biggest common factor number is the GCF number.
So the greatest common factor 9498 and 9503 is 1.

Also check out the Least Common Multiple of 9498 and 9503

Properties of GCF 9498 and 9503

(i) The GCF of 9498 and 9503 is associative

GCF of 9498 and 9503 = GCF of 9503 and 9498

Related Greatest Common Factor of 9498

Related Greatest Common Factor of 9503

Frequently Asked Questions on GCF of 9498 and 9503

1. What is the GCF of 9498 and 9503?

Answer: GCF of 9498 and 9503 is 1.

2. What are the Factors of 9498?

Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.

3. What are the Factors of 9503?

Answer: Factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503. There are 8 integers that are factors of 9503. The greatest factor of 9503 is 9503.

4. How to Find the GCF of 9498 and 9503?

Answer:

Greatest Common Factor of 9498 and 9503 = 1

Step 1: Find the prime factorization of 9498

9498 = 2 x 3 x 1583

Step 2: Find the prime factorization of 9503

9503 = 13 x 17 x 43

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 9498 and 9503 is 1