What is the Greatest Common Factor of 46548 and 46560?

Greatest common factor (GCF) of 46548 and 46560 is 12.

GCF(46548,46560) = 12

We will now calculate the prime factors of 46548 and 46560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46548 and 46560.

How to find the GCF of 46548 and 46560?

We will first find the prime factorization of 46548 and 46560. After we will calculate the factors of 46548 and 46560 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 46560

Prime factors of 46560 are 2, 3, 5, 97. Prime factorization of 46560 in exponential form is:

46560 = 2⁵ × 3¹ × 5¹ × 97¹

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 46560

List of positive integer factors of 46560 that divides 46548 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 97, 120, 160, 194, 240, 291, 388, 480, 485, 582, 776, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3104, 3880, 4656, 5820, 7760, 9312, 11640, 15520, 23280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46548 and 46560. The biggest common factor number is the GCF number.
So the greatest common factor 46548 and 46560 is 12.

Also check out the Least Common Multiple of 46548 and 46560