What is the Greatest Common Factor of 46287 and 46293?

Greatest common factor (GCF) of 46287 and 46293 is 3.

GCF(46287,46293) = 3

We will now calculate the prime factors of 46287 and 46293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46287 and 46293.

How to find the GCF of 46287 and 46293?

We will first find the prime factorization of 46287 and 46293. After we will calculate the factors of 46287 and 46293 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 46293

Prime factors of 46293 are 3, 13, 1187. Prime factorization of 46293 in exponential form is:

46293 = 3¹ × 13¹ × 1187¹

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 46293

List of positive integer factors of 46293 that divides 46287 without a remainder.

1, 3, 13, 39, 1187, 3561, 15431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46287 and 46293. The biggest common factor number is the GCF number.
So the greatest common factor 46287 and 46293 is 3.

Also check out the Least Common Multiple of 46287 and 46293