What is the Greatest Common Factor of 14048 and 14064?

Greatest common factor (GCF) of 14048 and 14064 is 16.

GCF(14048,14064) = 16

We will now calculate the prime factors of 14048 and 14064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14048 and 14064.

How to find the GCF of 14048 and 14064?

We will first find the prime factorization of 14048 and 14064. After we will calculate the factors of 14048 and 14064 and find the biggest common factor number .

Step-1: Prime Factorization of 14048

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

14048 = 2⁵ × 439¹

Step-2: Prime Factorization of 14064

Prime factors of 14064 are 2, 3, 293. Prime factorization of 14064 in exponential form is:

14064 = 2⁴ × 3¹ × 293¹

Step-3: Factors of 14048

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

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

Step-4: Factors of 14064

List of positive integer factors of 14064 that divides 14048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 293, 586, 879, 1172, 1758, 2344, 3516, 4688, 7032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14048 and 14064. The biggest common factor number is the GCF number.
So the greatest common factor 14048 and 14064 is 16.

Also check out the Least Common Multiple of 14048 and 14064