What is the Greatest Common Factor of 46546 and 46563?

Greatest common factor (GCF) of 46546 and 46563 is 17.

GCF(46546,46563) = 17

We will now calculate the prime factors of 46546 and 46563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46546 and 46563.

How to find the GCF of 46546 and 46563?

We will first find the prime factorization of 46546 and 46563. After we will calculate the factors of 46546 and 46563 and find the biggest common factor number .

Step-1: Prime Factorization of 46546

Prime factors of 46546 are 2, 17, 37. Prime factorization of 46546 in exponential form is:

46546 = 2¹ × 17¹ × 37²

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 46546

List of positive integer factors of 46546 that divides 46546 without a remainder.

1, 2, 17, 34, 37, 74, 629, 1258, 1369, 2738, 23273

Step-4: Factors of 46563

List of positive integer factors of 46563 that divides 46546 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 46546 and 46563. The biggest common factor number is the GCF number.
So the greatest common factor 46546 and 46563 is 17.

Also check out the Least Common Multiple of 46546 and 46563