What is the Greatest Common Factor of 58416 and 58431?

Greatest common factor (GCF) of 58416 and 58431 is 3.

GCF(58416,58431) = 3

We will now calculate the prime factors of 58416 and 58431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58416 and 58431.

How to find the GCF of 58416 and 58431?

We will first find the prime factorization of 58416 and 58431. After we will calculate the factors of 58416 and 58431 and find the biggest common factor number .

Step-1: Prime Factorization of 58416

Prime factors of 58416 are 2, 3, 1217. Prime factorization of 58416 in exponential form is:

58416 = 2⁴ × 3¹ × 1217¹

Step-2: Prime Factorization of 58431

Prime factors of 58431 are 3, 19477. Prime factorization of 58431 in exponential form is:

58431 = 3¹ × 19477¹

Step-3: Factors of 58416

List of positive integer factors of 58416 that divides 58416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1217, 2434, 3651, 4868, 7302, 9736, 14604, 19472, 29208

Step-4: Factors of 58431

List of positive integer factors of 58431 that divides 58416 without a remainder.

1, 3, 19477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58416 and 58431. The biggest common factor number is the GCF number.
So the greatest common factor 58416 and 58431 is 3.

Also check out the Least Common Multiple of 58416 and 58431