What is the Greatest Common Factor of 14028 and 14035?

Greatest common factor (GCF) of 14028 and 14035 is 7.

GCF(14028,14035) = 7

We will now calculate the prime factors of 14028 and 14035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14028 and 14035.

How to find the GCF of 14028 and 14035?

We will first find the prime factorization of 14028 and 14035. After we will calculate the factors of 14028 and 14035 and find the biggest common factor number .

Step-1: Prime Factorization of 14028

Prime factors of 14028 are 2, 3, 7, 167. Prime factorization of 14028 in exponential form is:

14028 = 2² × 3¹ × 7¹ × 167¹

Step-2: Prime Factorization of 14035

Prime factors of 14035 are 5, 7, 401. Prime factorization of 14035 in exponential form is:

14035 = 5¹ × 7¹ × 401¹

Step-3: Factors of 14028

List of positive integer factors of 14028 that divides 14028 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 167, 334, 501, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014

Step-4: Factors of 14035

List of positive integer factors of 14035 that divides 14028 without a remainder.

1, 5, 7, 35, 401, 2005, 2807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14028 and 14035. The biggest common factor number is the GCF number.
So the greatest common factor 14028 and 14035 is 7.

Also check out the Least Common Multiple of 14028 and 14035