What is the Greatest Common Factor of 30016 and 30029?

Greatest common factor (GCF) of 30016 and 30029 is 1.

GCF(30016,30029) = 1

We will now calculate the prime factors of 30016 and 30029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30016 and 30029.

How to find the GCF of 30016 and 30029?

We will first find the prime factorization of 30016 and 30029. After we will calculate the factors of 30016 and 30029 and find the biggest common factor number .

Step-1: Prime Factorization of 30016

Prime factors of 30016 are 2, 7, 67. Prime factorization of 30016 in exponential form is:

30016 = 2⁶ × 7¹ × 67¹

Step-2: Prime Factorization of 30029

Prime factors of 30029 are 30029. Prime factorization of 30029 in exponential form is:

30029 = 30029¹

Step-3: Factors of 30016

List of positive integer factors of 30016 that divides 30016 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 67, 112, 134, 224, 268, 448, 469, 536, 938, 1072, 1876, 2144, 3752, 4288, 7504, 15008

Step-4: Factors of 30029

List of positive integer factors of 30029 that divides 30016 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30016 and 30029. The biggest common factor number is the GCF number.
So the greatest common factor 30016 and 30029 is 1.

Also check out the Least Common Multiple of 30016 and 30029