What is the Greatest Common Factor of 46536 and 46548?

Greatest common factor (GCF) of 46536 and 46548 is 12.

GCF(46536,46548) = 12

We will now calculate the prime factors of 46536 and 46548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46536 and 46548.

How to find the GCF of 46536 and 46548?

We will first find the prime factorization of 46536 and 46548. After we will calculate the factors of 46536 and 46548 and find the biggest common factor number .

Step-1: Prime Factorization of 46536

Prime factors of 46536 are 2, 3, 7, 277. Prime factorization of 46536 in exponential form is:

46536 = 2³ × 3¹ × 7¹ × 277¹

Step-2: 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-3: Factors of 46536

List of positive integer factors of 46536 that divides 46536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268

Step-4: Factors of 46548

List of positive integer factors of 46548 that divides 46536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46536 and 46548. The biggest common factor number is the GCF number.
So the greatest common factor 46536 and 46548 is 12.

Also check out the Least Common Multiple of 46536 and 46548