What is the Greatest Common Factor of 46305 and 46322?

Greatest common factor (GCF) of 46305 and 46322 is 1.

GCF(46305,46322) = 1

We will now calculate the prime factors of 46305 and 46322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46305 and 46322.

How to find the GCF of 46305 and 46322?

We will first find the prime factorization of 46305 and 46322. After we will calculate the factors of 46305 and 46322 and find the biggest common factor number .

Step-1: Prime Factorization of 46305

Prime factors of 46305 are 3, 5, 7. Prime factorization of 46305 in exponential form is:

46305 = 3³ × 5¹ × 7³

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 46305

List of positive integer factors of 46305 that divides 46305 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 343, 441, 735, 945, 1029, 1323, 1715, 2205, 3087, 5145, 6615, 9261, 15435

Step-4: Factors of 46322

List of positive integer factors of 46322 that divides 46305 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 46305 and 46322. The biggest common factor number is the GCF number.
So the greatest common factor 46305 and 46322 is 1.

Also check out the Least Common Multiple of 46305 and 46322