What is the Greatest Common Factor of 14012 and 14030?

Greatest common factor (GCF) of 14012 and 14030 is 2.

GCF(14012,14030) = 2

We will now calculate the prime factors of 14012 and 14030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14012 and 14030.

How to find the GCF of 14012 and 14030?

We will first find the prime factorization of 14012 and 14030. After we will calculate the factors of 14012 and 14030 and find the biggest common factor number .

Step-1: Prime Factorization of 14012

Prime factors of 14012 are 2, 31, 113. Prime factorization of 14012 in exponential form is:

14012 = 2² × 31¹ × 113¹

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 14012

List of positive integer factors of 14012 that divides 14012 without a remainder.

1, 2, 4, 31, 62, 113, 124, 226, 452, 3503, 7006

Step-4: Factors of 14030

List of positive integer factors of 14030 that divides 14012 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 14012 and 14030. The biggest common factor number is the GCF number.
So the greatest common factor 14012 and 14030 is 2.

Also check out the Least Common Multiple of 14012 and 14030