What is the Greatest Common Factor of 46602 and 46617?

Greatest common factor (GCF) of 46602 and 46617 is 3.

GCF(46602,46617) = 3

We will now calculate the prime factors of 46602 and 46617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46602 and 46617.

How to find the GCF of 46602 and 46617?

We will first find the prime factorization of 46602 and 46617. After we will calculate the factors of 46602 and 46617 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46617

Prime factors of 46617 are 3, 41, 379. Prime factorization of 46617 in exponential form is:

46617 = 3¹ × 41¹ × 379¹

Step-3: Factors of 46602

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

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

Step-4: Factors of 46617

List of positive integer factors of 46617 that divides 46602 without a remainder.

1, 3, 41, 123, 379, 1137, 15539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46602 and 46617. The biggest common factor number is the GCF number.
So the greatest common factor 46602 and 46617 is 3.

Also check out the Least Common Multiple of 46602 and 46617