What is the Greatest Common Factor of 46296 and 46302?

Greatest common factor (GCF) of 46296 and 46302 is 6.

GCF(46296,46302) = 6

We will now calculate the prime factors of 46296 and 46302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46296 and 46302.

How to find the GCF of 46296 and 46302?

We will first find the prime factorization of 46296 and 46302. After we will calculate the factors of 46296 and 46302 and find the biggest common factor number .

Step-1: Prime Factorization of 46296

Prime factors of 46296 are 2, 3, 643. Prime factorization of 46296 in exponential form is:

46296 = 2³ × 3² × 643¹

Step-2: Prime Factorization of 46302

Prime factors of 46302 are 2, 3, 7717. Prime factorization of 46302 in exponential form is:

46302 = 2¹ × 3¹ × 7717¹

Step-3: Factors of 46296

List of positive integer factors of 46296 that divides 46296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 643, 1286, 1929, 2572, 3858, 5144, 5787, 7716, 11574, 15432, 23148

Step-4: Factors of 46302

List of positive integer factors of 46302 that divides 46296 without a remainder.

1, 2, 3, 6, 7717, 15434, 23151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46296 and 46302. The biggest common factor number is the GCF number.
So the greatest common factor 46296 and 46302 is 6.

Also check out the Least Common Multiple of 46296 and 46302