What is the Greatest Common Factor of 46395 and 46400?

Greatest common factor (GCF) of 46395 and 46400 is 5.

GCF(46395,46400) = 5

We will now calculate the prime factors of 46395 and 46400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46395 and 46400.

How to find the GCF of 46395 and 46400?

We will first find the prime factorization of 46395 and 46400. After we will calculate the factors of 46395 and 46400 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 46400

Prime factors of 46400 are 2, 5, 29. Prime factorization of 46400 in exponential form is:

46400 = 2⁶ × 5² × 29¹

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 46400

List of positive integer factors of 46400 that divides 46395 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 32, 40, 50, 58, 64, 80, 100, 116, 145, 160, 200, 232, 290, 320, 400, 464, 580, 725, 800, 928, 1160, 1450, 1600, 1856, 2320, 2900, 4640, 5800, 9280, 11600, 23200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46395 and 46400. The biggest common factor number is the GCF number.
So the greatest common factor 46395 and 46400 is 5.

Also check out the Least Common Multiple of 46395 and 46400