What is the Greatest Common Factor of 93447 and 93465?

Greatest common factor (GCF) of 93447 and 93465 is 9.

GCF(93447,93465) = 9

We will now calculate the prime factors of 93447 and 93465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93447 and 93465.

How to find the GCF of 93447 and 93465?

We will first find the prime factorization of 93447 and 93465. After we will calculate the factors of 93447 and 93465 and find the biggest common factor number .

Step-1: Prime Factorization of 93447

Prime factors of 93447 are 3, 3461. Prime factorization of 93447 in exponential form is:

93447 = 3³ × 3461¹

Step-2: Prime Factorization of 93465

Prime factors of 93465 are 3, 5, 31, 67. Prime factorization of 93465 in exponential form is:

93465 = 3² × 5¹ × 31¹ × 67¹

Step-3: Factors of 93447

List of positive integer factors of 93447 that divides 93447 without a remainder.

1, 3, 9, 27, 3461, 10383, 31149

Step-4: Factors of 93465

List of positive integer factors of 93465 that divides 93447 without a remainder.

1, 3, 5, 9, 15, 31, 45, 67, 93, 155, 201, 279, 335, 465, 603, 1005, 1395, 2077, 3015, 6231, 10385, 18693, 31155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93447 and 93465. The biggest common factor number is the GCF number.
So the greatest common factor 93447 and 93465 is 9.

Also check out the Least Common Multiple of 93447 and 93465