What is the Greatest Common Factor of 46593 and 46608?

Greatest common factor (GCF) of 46593 and 46608 is 3.

GCF(46593,46608) = 3

We will now calculate the prime factors of 46593 and 46608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46593 and 46608.

How to find the GCF of 46593 and 46608?

We will first find the prime factorization of 46593 and 46608. After we will calculate the factors of 46593 and 46608 and find the biggest common factor number .

Step-1: Prime Factorization of 46593

Prime factors of 46593 are 3, 31, 167. Prime factorization of 46593 in exponential form is:

46593 = 3² × 31¹ × 167¹

Step-2: Prime Factorization of 46608

Prime factors of 46608 are 2, 3, 971. Prime factorization of 46608 in exponential form is:

46608 = 2⁴ × 3¹ × 971¹

Step-3: Factors of 46593

List of positive integer factors of 46593 that divides 46593 without a remainder.

1, 3, 9, 31, 93, 167, 279, 501, 1503, 5177, 15531

Step-4: Factors of 46608

List of positive integer factors of 46608 that divides 46593 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 971, 1942, 2913, 3884, 5826, 7768, 11652, 15536, 23304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46593 and 46608. The biggest common factor number is the GCF number.
So the greatest common factor 46593 and 46608 is 3.

Also check out the Least Common Multiple of 46593 and 46608