What is the Greatest Common Factor of 9498 and 9502?

Greatest common factor (GCF) of 9498 and 9502 is 2.

GCF(9498,9502) = 2

We will now calculate the prime factors of 9498 and 9502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9498 and 9502.

How to find the GCF of 9498 and 9502?

We will first find the prime factorization of 9498 and 9502. After we will calculate the factors of 9498 and 9502 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 9502

Prime factors of 9502 are 2, 4751. Prime factorization of 9502 in exponential form is:

9502 = 2¹ × 4751¹

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 9502

List of positive integer factors of 9502 that divides 9498 without a remainder.

1, 2, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9498 and 9502. The biggest common factor number is the GCF number.
So the greatest common factor 9498 and 9502 is 2.

Also check out the Least Common Multiple of 9498 and 9502