What is the Greatest Common Factor of 9465 and 9476?

Greatest common factor (GCF) of 9465 and 9476 is 1.

GCF(9465,9476) = 1

We will now calculate the prime factors of 9465 and 9476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9465 and 9476.

How to find the GCF of 9465 and 9476?

We will first find the prime factorization of 9465 and 9476. After we will calculate the factors of 9465 and 9476 and find the biggest common factor number .

Step-1: Prime Factorization of 9465

Prime factors of 9465 are 3, 5, 631. Prime factorization of 9465 in exponential form is:

9465 = 3¹ × 5¹ × 631¹

Step-2: 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-3: Factors of 9465

List of positive integer factors of 9465 that divides 9465 without a remainder.

1, 3, 5, 15, 631, 1893, 3155

Step-4: Factors of 9476

List of positive integer factors of 9476 that divides 9465 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9465 and 9476. The biggest common factor number is the GCF number.
So the greatest common factor 9465 and 9476 is 1.

Also check out the Least Common Multiple of 9465 and 9476