What is the Greatest Common Factor of 46548 and 46566?

Greatest common factor (GCF) of 46548 and 46566 is 18.

GCF(46548,46566) = 18

We will now calculate the prime factors of 46548 and 46566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46548 and 46566.

How to find the GCF of 46548 and 46566?

We will first find the prime factorization of 46548 and 46566. After we will calculate the factors of 46548 and 46566 and find the biggest common factor number .

Step-1: Prime Factorization of 46548

Prime factors of 46548 are 2, 3, 431. Prime factorization of 46548 in exponential form is:

46548 = 2² × 3³ × 431¹

Step-2: Prime Factorization of 46566

Prime factors of 46566 are 2, 3, 13, 199. Prime factorization of 46566 in exponential form is:

46566 = 2¹ × 3² × 13¹ × 199¹

Step-3: Factors of 46548

List of positive integer factors of 46548 that divides 46548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 431, 862, 1293, 1724, 2586, 3879, 5172, 7758, 11637, 15516, 23274

Step-4: Factors of 46566

List of positive integer factors of 46566 that divides 46548 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 199, 234, 398, 597, 1194, 1791, 2587, 3582, 5174, 7761, 15522, 23283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46548 and 46566. The biggest common factor number is the GCF number.
So the greatest common factor 46548 and 46566 is 18.

Also check out the Least Common Multiple of 46548 and 46566