What is the Greatest Common Factor of 9465 and 9480?

Greatest common factor (GCF) of 9465 and 9480 is 15.

GCF(9465,9480) = 15

We will now calculate the prime factors of 9465 and 9480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9465 and 9480.

How to find the GCF of 9465 and 9480?

We will first find the prime factorization of 9465 and 9480. After we will calculate the factors of 9465 and 9480 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 9480

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

9480 = 2³ × 3¹ × 5¹ × 79¹

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 9480

List of positive integer factors of 9480 that divides 9465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9465 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9465 and 9480 is 15.

Also check out the Least Common Multiple of 9465 and 9480