What is the Greatest Common Factor of 46325 and 46342?

Greatest common factor (GCF) of 46325 and 46342 is 17.

GCF(46325,46342) = 17

We will now calculate the prime factors of 46325 and 46342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46325 and 46342.

How to find the GCF of 46325 and 46342?

We will first find the prime factorization of 46325 and 46342. After we will calculate the factors of 46325 and 46342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46342

Prime factors of 46342 are 2, 17, 29, 47. Prime factorization of 46342 in exponential form is:

46342 = 2¹ × 17¹ × 29¹ × 47¹

Step-3: Factors of 46325

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

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

Step-4: Factors of 46342

List of positive integer factors of 46342 that divides 46325 without a remainder.

1, 2, 17, 29, 34, 47, 58, 94, 493, 799, 986, 1363, 1598, 2726, 23171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46325 and 46342. The biggest common factor number is the GCF number.
So the greatest common factor 46325 and 46342 is 17.

Also check out the Least Common Multiple of 46325 and 46342