What is the Greatest Common Factor of 14016 and 14030?

Greatest common factor (GCF) of 14016 and 14030 is 2.

GCF(14016,14030) = 2

We will now calculate the prime factors of 14016 and 14030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14016 and 14030.

How to find the GCF of 14016 and 14030?

We will first find the prime factorization of 14016 and 14030. After we will calculate the factors of 14016 and 14030 and find the biggest common factor number .

Step-1: Prime Factorization of 14016

Prime factors of 14016 are 2, 3, 73. Prime factorization of 14016 in exponential form is:

14016 = 2⁶ × 3¹ × 73¹

Step-2: Prime Factorization of 14030

Prime factors of 14030 are 2, 5, 23, 61. Prime factorization of 14030 in exponential form is:

14030 = 2¹ × 5¹ × 23¹ × 61¹

Step-3: Factors of 14016

List of positive integer factors of 14016 that divides 14016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 73, 96, 146, 192, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 4672, 7008

Step-4: Factors of 14030

List of positive integer factors of 14030 that divides 14016 without a remainder.

1, 2, 5, 10, 23, 46, 61, 115, 122, 230, 305, 610, 1403, 2806, 7015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14016 and 14030. The biggest common factor number is the GCF number.
So the greatest common factor 14016 and 14030 is 2.

Also check out the Least Common Multiple of 14016 and 14030