What is the Greatest Common Factor of 9016 and 9029?

Greatest common factor (GCF) of 9016 and 9029 is 1.

GCF(9016,9029) = 1

We will now calculate the prime factors of 9016 and 9029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9016 and 9029.

How to find the GCF of 9016 and 9029?

We will first find the prime factorization of 9016 and 9029. After we will calculate the factors of 9016 and 9029 and find the biggest common factor number .

Step-1: Prime Factorization of 9016

Prime factors of 9016 are 2, 7, 23. Prime factorization of 9016 in exponential form is:

9016 = 2³ × 7² × 23¹

Step-2: Prime Factorization of 9029

Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:

9029 = 9029¹

Step-3: Factors of 9016

List of positive integer factors of 9016 that divides 9016 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508

Step-4: Factors of 9029

List of positive integer factors of 9029 that divides 9016 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9016 and 9029. The biggest common factor number is the GCF number.
So the greatest common factor 9016 and 9029 is 1.

Also check out the Least Common Multiple of 9016 and 9029