What is the Greatest Common Factor of 14038 and 14052?

Greatest common factor (GCF) of 14038 and 14052 is 2.

GCF(14038,14052) = 2

We will now calculate the prime factors of 14038 and 14052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14038 and 14052.

How to find the GCF of 14038 and 14052?

We will first find the prime factorization of 14038 and 14052. After we will calculate the factors of 14038 and 14052 and find the biggest common factor number .

Step-1: Prime Factorization of 14038

Prime factors of 14038 are 2, 7019. Prime factorization of 14038 in exponential form is:

14038 = 2¹ × 7019¹

Step-2: Prime Factorization of 14052

Prime factors of 14052 are 2, 3, 1171. Prime factorization of 14052 in exponential form is:

14052 = 2² × 3¹ × 1171¹

Step-3: Factors of 14038

List of positive integer factors of 14038 that divides 14038 without a remainder.

1, 2, 7019

Step-4: Factors of 14052

List of positive integer factors of 14052 that divides 14038 without a remainder.

1, 2, 3, 4, 6, 12, 1171, 2342, 3513, 4684, 7026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14038 and 14052. The biggest common factor number is the GCF number.
So the greatest common factor 14038 and 14052 is 2.

Also check out the Least Common Multiple of 14038 and 14052