What is the Greatest Common Factor of 46593 and 46602?

Greatest common factor (GCF) of 46593 and 46602 is 9.

GCF(46593,46602) = 9

We will now calculate the prime factors of 46593 and 46602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46593 and 46602.

How to find the GCF of 46593 and 46602?

We will first find the prime factorization of 46593 and 46602. After we will calculate the factors of 46593 and 46602 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 46602

Prime factors of 46602 are 2, 3, 863. Prime factorization of 46602 in exponential form is:

46602 = 2¹ × 3³ × 863¹

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 46602

List of positive integer factors of 46602 that divides 46593 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 863, 1726, 2589, 5178, 7767, 15534, 23301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46593 and 46602. The biggest common factor number is the GCF number.
So the greatest common factor 46593 and 46602 is 9.

Also check out the Least Common Multiple of 46593 and 46602