What is the Greatest Common Factor of 30169 and 30176?

Greatest common factor (GCF) of 30169 and 30176 is 1.

GCF(30169,30176) = 1

We will now calculate the prime factors of 30169 and 30176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30169 and 30176.

How to find the GCF of 30169 and 30176?

We will first find the prime factorization of 30169 and 30176. After we will calculate the factors of 30169 and 30176 and find the biggest common factor number .

Step-1: Prime Factorization of 30169

Prime factors of 30169 are 30169. Prime factorization of 30169 in exponential form is:

30169 = 30169¹

Step-2: Prime Factorization of 30176

Prime factors of 30176 are 2, 23, 41. Prime factorization of 30176 in exponential form is:

30176 = 2⁵ × 23¹ × 41¹

Step-3: Factors of 30169

List of positive integer factors of 30169 that divides 30169 without a remainder.

Step-4: Factors of 30176

List of positive integer factors of 30176 that divides 30169 without a remainder.

1, 2, 4, 8, 16, 23, 32, 41, 46, 82, 92, 164, 184, 328, 368, 656, 736, 943, 1312, 1886, 3772, 7544, 15088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30169 and 30176. The biggest common factor number is the GCF number.
So the greatest common factor 30169 and 30176 is 1.

Also check out the Least Common Multiple of 30169 and 30176