What is the Greatest Common Factor of 46371 and 46383?

Greatest common factor (GCF) of 46371 and 46383 is 3.

GCF(46371,46383) = 3

We will now calculate the prime factors of 46371 and 46383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46371 and 46383.

How to find the GCF of 46371 and 46383?

We will first find the prime factorization of 46371 and 46383. After we will calculate the factors of 46371 and 46383 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 46383

Prime factors of 46383 are 3, 15461. Prime factorization of 46383 in exponential form is:

46383 = 3¹ × 15461¹

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 46383

List of positive integer factors of 46383 that divides 46371 without a remainder.

1, 3, 15461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46371 and 46383. The biggest common factor number is the GCF number.
So the greatest common factor 46371 and 46383 is 3.

Also check out the Least Common Multiple of 46371 and 46383