What is the Greatest Common Factor of 46302 and 46320?

Greatest common factor (GCF) of 46302 and 46320 is 6.

GCF(46302,46320) = 6

We will now calculate the prime factors of 46302 and 46320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46302 and 46320.

How to find the GCF of 46302 and 46320?

We will first find the prime factorization of 46302 and 46320. After we will calculate the factors of 46302 and 46320 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46320

Prime factors of 46320 are 2, 3, 5, 193. Prime factorization of 46320 in exponential form is:

46320 = 2⁴ × 3¹ × 5¹ × 193¹

Step-3: Factors of 46302

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

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

Step-4: Factors of 46320

List of positive integer factors of 46320 that divides 46302 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 193, 240, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 7720, 9264, 11580, 15440, 23160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46302 and 46320. The biggest common factor number is the GCF number.
So the greatest common factor 46302 and 46320 is 6.

Also check out the Least Common Multiple of 46302 and 46320