What is the Greatest Common Factor of 9016 and 9030?

Greatest common factor (GCF) of 9016 and 9030 is 14.

GCF(9016,9030) = 14

We will now calculate the prime factors of 9016 and 9030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9016 and 9030.

How to find the GCF of 9016 and 9030?

We will first find the prime factorization of 9016 and 9030. After we will calculate the factors of 9016 and 9030 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 9030

Prime factors of 9030 are 2, 3, 5, 7, 43. Prime factorization of 9030 in exponential form is:

9030 = 2¹ × 3¹ × 5¹ × 7¹ × 43¹

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 9030

List of positive integer factors of 9030 that divides 9016 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9016 and 9030. The biggest common factor number is the GCF number.
So the greatest common factor 9016 and 9030 is 14.

Also check out the Least Common Multiple of 9016 and 9030