What is the Greatest Common Factor of 58167 and 58175?

Greatest common factor (GCF) of 58167 and 58175 is 1.

GCF(58167,58175) = 1

We will now calculate the prime factors of 58167 and 58175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58167 and 58175.

How to find the GCF of 58167 and 58175?

We will first find the prime factorization of 58167 and 58175. After we will calculate the factors of 58167 and 58175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58175

Prime factors of 58175 are 5, 13, 179. Prime factorization of 58175 in exponential form is:

58175 = 5² × 13¹ × 179¹

Step-3: Factors of 58167

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

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

Step-4: Factors of 58175

List of positive integer factors of 58175 that divides 58167 without a remainder.

1, 5, 13, 25, 65, 179, 325, 895, 2327, 4475, 11635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58167 and 58175. The biggest common factor number is the GCF number.
So the greatest common factor 58167 and 58175 is 1.

Also check out the Least Common Multiple of 58167 and 58175