What is the Greatest Common Factor of 46358 and 46371?

Greatest common factor (GCF) of 46358 and 46371 is 13.

GCF(46358,46371) = 13

We will now calculate the prime factors of 46358 and 46371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46358 and 46371.

How to find the GCF of 46358 and 46371?

We will first find the prime factorization of 46358 and 46371. After we will calculate the factors of 46358 and 46371 and find the biggest common factor number .

Step-1: Prime Factorization of 46358

Prime factors of 46358 are 2, 13, 1783. Prime factorization of 46358 in exponential form is:

46358 = 2¹ × 13¹ × 1783¹

Step-2: 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-3: Factors of 46358

List of positive integer factors of 46358 that divides 46358 without a remainder.

1, 2, 13, 26, 1783, 3566, 23179

Step-4: Factors of 46371

List of positive integer factors of 46371 that divides 46358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46358 and 46371. The biggest common factor number is the GCF number.
So the greatest common factor 46358 and 46371 is 13.

Also check out the Least Common Multiple of 46358 and 46371