What is the Greatest Common Factor of 46269 and 46287?

Greatest common factor (GCF) of 46269 and 46287 is 9.

GCF(46269,46287) = 9

We will now calculate the prime factors of 46269 and 46287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46269 and 46287.

How to find the GCF of 46269 and 46287?

We will first find the prime factorization of 46269 and 46287. After we will calculate the factors of 46269 and 46287 and find the biggest common factor number .

Step-1: Prime Factorization of 46269

Prime factors of 46269 are 3, 53, 97. Prime factorization of 46269 in exponential form is:

46269 = 3² × 53¹ × 97¹

Step-2: 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-3: Factors of 46269

List of positive integer factors of 46269 that divides 46269 without a remainder.

1, 3, 9, 53, 97, 159, 291, 477, 873, 5141, 15423

Step-4: Factors of 46287

List of positive integer factors of 46287 that divides 46269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46269 and 46287. The biggest common factor number is the GCF number.
So the greatest common factor 46269 and 46287 is 9.

Also check out the Least Common Multiple of 46269 and 46287