What is the Greatest Common Factor of 46388 and 46395?

Greatest common factor (GCF) of 46388 and 46395 is 1.

GCF(46388,46395) = 1

We will now calculate the prime factors of 46388 and 46395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46388 and 46395.

How to find the GCF of 46388 and 46395?

We will first find the prime factorization of 46388 and 46395. After we will calculate the factors of 46388 and 46395 and find the biggest common factor number .

Step-1: Prime Factorization of 46388

Prime factors of 46388 are 2, 11597. Prime factorization of 46388 in exponential form is:

46388 = 2² × 11597¹

Step-2: 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-3: Factors of 46388

List of positive integer factors of 46388 that divides 46388 without a remainder.

1, 2, 4, 11597, 23194

Step-4: Factors of 46395

List of positive integer factors of 46395 that divides 46388 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46388 and 46395. The biggest common factor number is the GCF number.
So the greatest common factor 46388 and 46395 is 1.

Also check out the Least Common Multiple of 46388 and 46395