What is the Greatest Common Factor of 9480 and 9498?

Greatest common factor (GCF) of 9480 and 9498 is 6.

GCF(9480,9498) = 6

We will now calculate the prime factors of 9480 and 9498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9480 and 9498.

How to find the GCF of 9480 and 9498?

We will first find the prime factorization of 9480 and 9498. After we will calculate the factors of 9480 and 9498 and find the biggest common factor number .

Step-1: Prime Factorization of 9480

Prime factors of 9480 are 2, 3, 5, 79. Prime factorization of 9480 in exponential form is:

9480 = 2³ × 3¹ × 5¹ × 79¹

Step-2: 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-3: Factors of 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740

Step-4: Factors of 9498

List of positive integer factors of 9498 that divides 9480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9480 and 9498. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9498 is 6.

Also check out the Least Common Multiple of 9480 and 9498