What is the Greatest Common Factor of 9460 and 9465?

Greatest common factor (GCF) of 9460 and 9465 is 5.

GCF(9460,9465) = 5

We will now calculate the prime factors of 9460 and 9465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9460 and 9465.

How to find the GCF of 9460 and 9465?

We will first find the prime factorization of 9460 and 9465. After we will calculate the factors of 9460 and 9465 and find the biggest common factor number .

Step-1: Prime Factorization of 9460

Prime factors of 9460 are 2, 5, 11, 43. Prime factorization of 9460 in exponential form is:

9460 = 2² × 5¹ × 11¹ × 43¹

Step-2: 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-3: Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730

Step-4: Factors of 9465

List of positive integer factors of 9465 that divides 9460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9460 and 9465. The biggest common factor number is the GCF number.
So the greatest common factor 9460 and 9465 is 5.

Also check out the Least Common Multiple of 9460 and 9465