What is the Greatest Common Factor of 46365 and 46385?

Greatest common factor (GCF) of 46365 and 46385 is 5.

GCF(46365,46385) = 5

We will now calculate the prime factors of 46365 and 46385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46365 and 46385.

How to find the GCF of 46365 and 46385?

We will first find the prime factorization of 46365 and 46385. After we will calculate the factors of 46365 and 46385 and find the biggest common factor number .

Step-1: Prime Factorization of 46365

Prime factors of 46365 are 3, 5, 11, 281. Prime factorization of 46365 in exponential form is:

46365 = 3¹ × 5¹ × 11¹ × 281¹

Step-2: Prime Factorization of 46385

Prime factors of 46385 are 5, 9277. Prime factorization of 46385 in exponential form is:

46385 = 5¹ × 9277¹

Step-3: Factors of 46365

List of positive integer factors of 46365 that divides 46365 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 281, 843, 1405, 3091, 4215, 9273, 15455

Step-4: Factors of 46385

List of positive integer factors of 46385 that divides 46365 without a remainder.

1, 5, 9277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46365 and 46385. The biggest common factor number is the GCF number.
So the greatest common factor 46365 and 46385 is 5.

Also check out the Least Common Multiple of 46365 and 46385