What is the Greatest Common Factor of 9498 and 9503?

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

GCF(9498,9503) = 1

We will now calculate the prime factors of 9498 and 9503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9498 and 9503.

How to find the GCF of 9498 and 9503?

We will first find the prime factorization of 9498 and 9503. After we will calculate the factors of 9498 and 9503 and find the biggest common factor number .

Step-1: Prime Factorization of 9498

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

9498 = 2¹ × 3¹ × 1583¹

Step-2: Prime Factorization of 9503

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

9503 = 13¹ × 17¹ × 43¹

Step-3: Factors of 9498

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

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

Step-4: Factors of 9503

List of positive integer factors of 9503 that divides 9498 without a remainder.

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

Final Step: Biggest Common Factor Number

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