What is the Greatest Common Factor of 46305 and 46325?

Greatest common factor (GCF) of 46305 and 46325 is 5.

GCF(46305,46325) = 5

We will now calculate the prime factors of 46305 and 46325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46305 and 46325.

How to find the GCF of 46305 and 46325?

We will first find the prime factorization of 46305 and 46325. After we will calculate the factors of 46305 and 46325 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 46325

Prime factors of 46325 are 5, 17, 109. Prime factorization of 46325 in exponential form is:

46325 = 5² × 17¹ × 109¹

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 46325

List of positive integer factors of 46325 that divides 46305 without a remainder.

1, 5, 17, 25, 85, 109, 425, 545, 1853, 2725, 9265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46305 and 46325. The biggest common factor number is the GCF number.
So the greatest common factor 46305 and 46325 is 5.

Also check out the Least Common Multiple of 46305 and 46325