What is the Greatest Common Factor of 9476 and 9490?

Greatest common factor (GCF) of 9476 and 9490 is 2.

GCF(9476,9490) = 2

We will now calculate the prime factors of 9476 and 9490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9476 and 9490.

How to find the GCF of 9476 and 9490?

We will first find the prime factorization of 9476 and 9490. After we will calculate the factors of 9476 and 9490 and find the biggest common factor number .

Step-1: Prime Factorization of 9476

Prime factors of 9476 are 2, 23, 103. Prime factorization of 9476 in exponential form is:

9476 = 2² × 23¹ × 103¹

Step-2: Prime Factorization of 9490

Prime factors of 9490 are 2, 5, 13, 73. Prime factorization of 9490 in exponential form is:

9490 = 2¹ × 5¹ × 13¹ × 73¹

Step-3: Factors of 9476

List of positive integer factors of 9476 that divides 9476 without a remainder.

1, 2, 4, 23, 46, 92, 103, 206, 412, 2369, 4738

Step-4: Factors of 9490

List of positive integer factors of 9490 that divides 9476 without a remainder.

1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9476 and 9490. The biggest common factor number is the GCF number.
So the greatest common factor 9476 and 9490 is 2.

Also check out the Least Common Multiple of 9476 and 9490