What is the Greatest Common Factor of 58152 and 58167?

Greatest common factor (GCF) of 58152 and 58167 is 3.

GCF(58152,58167) = 3

We will now calculate the prime factors of 58152 and 58167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58152 and 58167.

How to find the GCF of 58152 and 58167?

We will first find the prime factorization of 58152 and 58167. After we will calculate the factors of 58152 and 58167 and find the biggest common factor number .

Step-1: Prime Factorization of 58152

Prime factors of 58152 are 2, 3, 2423. Prime factorization of 58152 in exponential form is:

58152 = 2³ × 3¹ × 2423¹

Step-2: Prime Factorization of 58167

Prime factors of 58167 are 3, 23, 281. Prime factorization of 58167 in exponential form is:

58167 = 3² × 23¹ × 281¹

Step-3: Factors of 58152

List of positive integer factors of 58152 that divides 58152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2423, 4846, 7269, 9692, 14538, 19384, 29076

Step-4: Factors of 58167

List of positive integer factors of 58167 that divides 58152 without a remainder.

1, 3, 9, 23, 69, 207, 281, 843, 2529, 6463, 19389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58152 and 58167. The biggest common factor number is the GCF number.
So the greatest common factor 58152 and 58167 is 3.

Also check out the Least Common Multiple of 58152 and 58167