What is the Greatest Common Factor of 46563 and 46569?

Greatest common factor (GCF) of 46563 and 46569 is 3.

GCF(46563,46569) = 3

We will now calculate the prime factors of 46563 and 46569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46563 and 46569.

How to find the GCF of 46563 and 46569?

We will first find the prime factorization of 46563 and 46569. After we will calculate the factors of 46563 and 46569 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46569

Prime factors of 46569 are 3, 19, 43. Prime factorization of 46569 in exponential form is:

46569 = 3¹ × 19² × 43¹

Step-3: Factors of 46563

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

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

Step-4: Factors of 46569

List of positive integer factors of 46569 that divides 46563 without a remainder.

1, 3, 19, 43, 57, 129, 361, 817, 1083, 2451, 15523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46563 and 46569. The biggest common factor number is the GCF number.
So the greatest common factor 46563 and 46569 is 3.

Also check out the Least Common Multiple of 46563 and 46569