What is the Greatest Common Factor of 46593 and 46609?

Greatest common factor (GCF) of 46593 and 46609 is 1.

GCF(46593,46609) = 1

We will now calculate the prime factors of 46593 and 46609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46593 and 46609.

How to find the GCF of 46593 and 46609?

We will first find the prime factorization of 46593 and 46609. After we will calculate the factors of 46593 and 46609 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 46609

Prime factors of 46609 are 127, 367. Prime factorization of 46609 in exponential form is:

46609 = 127¹ × 367¹

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 46609

List of positive integer factors of 46609 that divides 46593 without a remainder.

1, 127, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46593 and 46609. The biggest common factor number is the GCF number.
So the greatest common factor 46593 and 46609 is 1.

Also check out the Least Common Multiple of 46593 and 46609