What is the Greatest Common Factor of 30164 and 30176?

Greatest common factor (GCF) of 30164 and 30176 is 4.

GCF(30164,30176) = 4

We will now calculate the prime factors of 30164 and 30176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30164 and 30176.

How to find the GCF of 30164 and 30176?

We will first find the prime factorization of 30164 and 30176. After we will calculate the factors of 30164 and 30176 and find the biggest common factor number .

Step-1: Prime Factorization of 30164

Prime factors of 30164 are 2, 7541. Prime factorization of 30164 in exponential form is:

30164 = 2² × 7541¹

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 30164

List of positive integer factors of 30164 that divides 30164 without a remainder.

1, 2, 4, 7541, 15082

Step-4: Factors of 30176

List of positive integer factors of 30176 that divides 30164 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 30164 and 30176. The biggest common factor number is the GCF number.
So the greatest common factor 30164 and 30176 is 4.

Also check out the Least Common Multiple of 30164 and 30176