What is the Greatest Common Factor of 46302 and 46322?

Greatest common factor (GCF) of 46302 and 46322 is 2.

GCF(46302,46322) = 2

We will now calculate the prime factors of 46302 and 46322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46302 and 46322.

How to find the GCF of 46302 and 46322?

We will first find the prime factorization of 46302 and 46322. After we will calculate the factors of 46302 and 46322 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 46322

Prime factors of 46322 are 2, 19, 23, 53. Prime factorization of 46322 in exponential form is:

46322 = 2¹ × 19¹ × 23¹ × 53¹

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 46322

List of positive integer factors of 46322 that divides 46302 without a remainder.

1, 2, 19, 23, 38, 46, 53, 106, 437, 874, 1007, 1219, 2014, 2438, 23161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46302 and 46322. The biggest common factor number is the GCF number.
So the greatest common factor 46302 and 46322 is 2.

Also check out the Least Common Multiple of 46302 and 46322