What is the Greatest Common Factor of 46287 and 46296?

Greatest common factor (GCF) of 46287 and 46296 is 9.

GCF(46287,46296) = 9

We will now calculate the prime factors of 46287 and 46296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46287 and 46296.

How to find the GCF of 46287 and 46296?

We will first find the prime factorization of 46287 and 46296. After we will calculate the factors of 46287 and 46296 and find the biggest common factor number .

Step-1: Prime Factorization of 46287

Prime factors of 46287 are 3, 37, 139. Prime factorization of 46287 in exponential form is:

46287 = 3² × 37¹ × 139¹

Step-2: Prime Factorization of 46296

Prime factors of 46296 are 2, 3, 643. Prime factorization of 46296 in exponential form is:

46296 = 2³ × 3² × 643¹

Step-3: Factors of 46287

List of positive integer factors of 46287 that divides 46287 without a remainder.

1, 3, 9, 37, 111, 139, 333, 417, 1251, 5143, 15429

Step-4: Factors of 46296

List of positive integer factors of 46296 that divides 46287 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 643, 1286, 1929, 2572, 3858, 5144, 5787, 7716, 11574, 15432, 23148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46287 and 46296. The biggest common factor number is the GCF number.
So the greatest common factor 46287 and 46296 is 9.

Also check out the Least Common Multiple of 46287 and 46296