What is the Greatest Common Factor of 14034 and 14048?

Greatest common factor (GCF) of 14034 and 14048 is 2.

GCF(14034,14048) = 2

We will now calculate the prime factors of 14034 and 14048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14034 and 14048.

How to find the GCF of 14034 and 14048?

We will first find the prime factorization of 14034 and 14048. After we will calculate the factors of 14034 and 14048 and find the biggest common factor number .

Step-1: Prime Factorization of 14034

Prime factors of 14034 are 2, 3, 2339. Prime factorization of 14034 in exponential form is:

14034 = 2¹ × 3¹ × 2339¹

Step-2: Prime Factorization of 14048

Prime factors of 14048 are 2, 439. Prime factorization of 14048 in exponential form is:

14048 = 2⁵ × 439¹

Step-3: Factors of 14034

List of positive integer factors of 14034 that divides 14034 without a remainder.

1, 2, 3, 6, 2339, 4678, 7017

Step-4: Factors of 14048

List of positive integer factors of 14048 that divides 14034 without a remainder.

1, 2, 4, 8, 16, 32, 439, 878, 1756, 3512, 7024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14034 and 14048. The biggest common factor number is the GCF number.
So the greatest common factor 14034 and 14048 is 2.

Also check out the Least Common Multiple of 14034 and 14048