What is the Greatest Common Factor of 46548 and 46554?

Greatest common factor (GCF) of 46548 and 46554 is 6.

GCF(46548,46554) = 6

We will now calculate the prime factors of 46548 and 46554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46548 and 46554.

How to find the GCF of 46548 and 46554?

We will first find the prime factorization of 46548 and 46554. After we will calculate the factors of 46548 and 46554 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 46554

Prime factors of 46554 are 2, 3, 7759. Prime factorization of 46554 in exponential form is:

46554 = 2¹ × 3¹ × 7759¹

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 46554

List of positive integer factors of 46554 that divides 46548 without a remainder.

1, 2, 3, 6, 7759, 15518, 23277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46548 and 46554. The biggest common factor number is the GCF number.
So the greatest common factor 46548 and 46554 is 6.

Also check out the Least Common Multiple of 46548 and 46554