What is the Greatest Common Factor of 46557 and 46563?

Greatest common factor (GCF) of 46557 and 46563 is 3.

GCF(46557,46563) = 3

We will now calculate the prime factors of 46557 and 46563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46557 and 46563.

How to find the GCF of 46557 and 46563?

We will first find the prime factorization of 46557 and 46563. After we will calculate the factors of 46557 and 46563 and find the biggest common factor number .

Step-1: Prime Factorization of 46557

Prime factors of 46557 are 3, 7, 739. Prime factorization of 46557 in exponential form is:

46557 = 3² × 7¹ × 739¹

Step-2: Prime Factorization of 46563

Prime factors of 46563 are 3, 11, 17, 83. Prime factorization of 46563 in exponential form is:

46563 = 3¹ × 11¹ × 17¹ × 83¹

Step-3: Factors of 46557

List of positive integer factors of 46557 that divides 46557 without a remainder.

1, 3, 7, 9, 21, 63, 739, 2217, 5173, 6651, 15519

Step-4: Factors of 46563

List of positive integer factors of 46563 that divides 46557 without a remainder.

1, 3, 11, 17, 33, 51, 83, 187, 249, 561, 913, 1411, 2739, 4233, 15521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46557 and 46563. The biggest common factor number is the GCF number.
So the greatest common factor 46557 and 46563 is 3.

Also check out the Least Common Multiple of 46557 and 46563