What is the Greatest Common Factor of 14114 and 14120?

Greatest common factor (GCF) of 14114 and 14120 is 2.

GCF(14114,14120) = 2

We will now calculate the prime factors of 14114 and 14120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14114 and 14120.

How to find the GCF of 14114 and 14120?

We will first find the prime factorization of 14114 and 14120. After we will calculate the factors of 14114 and 14120 and find the biggest common factor number .

Step-1: Prime Factorization of 14114

Prime factors of 14114 are 2, 7057. Prime factorization of 14114 in exponential form is:

14114 = 2¹ × 7057¹

Step-2: Prime Factorization of 14120

Prime factors of 14120 are 2, 5, 353. Prime factorization of 14120 in exponential form is:

14120 = 2³ × 5¹ × 353¹

Step-3: Factors of 14114

List of positive integer factors of 14114 that divides 14114 without a remainder.

1, 2, 7057

Step-4: Factors of 14120

List of positive integer factors of 14120 that divides 14114 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 353, 706, 1412, 1765, 2824, 3530, 7060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14114 and 14120. The biggest common factor number is the GCF number.
So the greatest common factor 14114 and 14120 is 2.

Also check out the Least Common Multiple of 14114 and 14120