What is the Greatest Common Factor of 46578 and 46593?

Greatest common factor (GCF) of 46578 and 46593 is 3.

GCF(46578,46593) = 3

We will now calculate the prime factors of 46578 and 46593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46578 and 46593.

How to find the GCF of 46578 and 46593?

We will first find the prime factorization of 46578 and 46593. After we will calculate the factors of 46578 and 46593 and find the biggest common factor number .

Step-1: Prime Factorization of 46578

Prime factors of 46578 are 2, 3, 7, 1109. Prime factorization of 46578 in exponential form is:

46578 = 2¹ × 3¹ × 7¹ × 1109¹

Step-2: 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-3: Factors of 46578

List of positive integer factors of 46578 that divides 46578 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1109, 2218, 3327, 6654, 7763, 15526, 23289

Step-4: Factors of 46593

List of positive integer factors of 46593 that divides 46578 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46578 and 46593. The biggest common factor number is the GCF number.
So the greatest common factor 46578 and 46593 is 3.

Also check out the Least Common Multiple of 46578 and 46593