What is the Greatest Common Factor of 46371 and 46385?

Greatest common factor (GCF) of 46371 and 46385 is 1.

GCF(46371,46385) = 1

We will now calculate the prime factors of 46371 and 46385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46371 and 46385.

How to find the GCF of 46371 and 46385?

We will first find the prime factorization of 46371 and 46385. After we will calculate the factors of 46371 and 46385 and find the biggest common factor number .

Step-1: Prime Factorization of 46371

Prime factors of 46371 are 3, 13, 29, 41. Prime factorization of 46371 in exponential form is:

46371 = 3¹ × 13¹ × 29¹ × 41¹

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 46371

List of positive integer factors of 46371 that divides 46371 without a remainder.

1, 3, 13, 29, 39, 41, 87, 123, 377, 533, 1131, 1189, 1599, 3567, 15457

Step-4: Factors of 46385

List of positive integer factors of 46385 that divides 46371 without a remainder.

1, 5, 9277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46371 and 46385. The biggest common factor number is the GCF number.
So the greatest common factor 46371 and 46385 is 1.

Also check out the Least Common Multiple of 46371 and 46385