What is the Greatest Common Factor of 30146 and 30163?

Greatest common factor (GCF) of 30146 and 30163 is 1.

GCF(30146,30163) = 1

We will now calculate the prime factors of 30146 and 30163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30146 and 30163.

How to find the GCF of 30146 and 30163?

We will first find the prime factorization of 30146 and 30163. After we will calculate the factors of 30146 and 30163 and find the biggest common factor number .

Step-1: Prime Factorization of 30146

Prime factors of 30146 are 2, 15073. Prime factorization of 30146 in exponential form is:

30146 = 2¹ × 15073¹

Step-2: Prime Factorization of 30163

Prime factors of 30163 are 7, 31, 139. Prime factorization of 30163 in exponential form is:

30163 = 7¹ × 31¹ × 139¹

Step-3: Factors of 30146

List of positive integer factors of 30146 that divides 30146 without a remainder.

1, 2, 15073

Step-4: Factors of 30163

List of positive integer factors of 30163 that divides 30146 without a remainder.

1, 7, 31, 139, 217, 973, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30146 and 30163. The biggest common factor number is the GCF number.
So the greatest common factor 30146 and 30163 is 1.

Also check out the Least Common Multiple of 30146 and 30163