What is the Greatest Common Factor of 46395 and 46415?

Greatest common factor (GCF) of 46395 and 46415 is 5.

GCF(46395,46415) = 5

We will now calculate the prime factors of 46395 and 46415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46395 and 46415.

How to find the GCF of 46395 and 46415?

We will first find the prime factorization of 46395 and 46415. After we will calculate the factors of 46395 and 46415 and find the biggest common factor number .

Step-1: Prime Factorization of 46395

Prime factors of 46395 are 3, 5, 1031. Prime factorization of 46395 in exponential form is:

46395 = 3² × 5¹ × 1031¹

Step-2: Prime Factorization of 46415

Prime factors of 46415 are 5, 9283. Prime factorization of 46415 in exponential form is:

46415 = 5¹ × 9283¹

Step-3: Factors of 46395

List of positive integer factors of 46395 that divides 46395 without a remainder.

1, 3, 5, 9, 15, 45, 1031, 3093, 5155, 9279, 15465

Step-4: Factors of 46415

List of positive integer factors of 46415 that divides 46395 without a remainder.

1, 5, 9283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46395 and 46415. The biggest common factor number is the GCF number.
So the greatest common factor 46395 and 46415 is 5.

Also check out the Least Common Multiple of 46395 and 46415