What is the Greatest Common Factor of 14064 and 14082?

Greatest common factor (GCF) of 14064 and 14082 is 6.

GCF(14064,14082) = 6

We will now calculate the prime factors of 14064 and 14082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14064 and 14082.

How to find the GCF of 14064 and 14082?

We will first find the prime factorization of 14064 and 14082. After we will calculate the factors of 14064 and 14082 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14082

Prime factors of 14082 are 2, 3, 2347. Prime factorization of 14082 in exponential form is:

14082 = 2¹ × 3¹ × 2347¹

Step-3: Factors of 14064

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

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

Step-4: Factors of 14082

List of positive integer factors of 14082 that divides 14064 without a remainder.

1, 2, 3, 6, 2347, 4694, 7041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14064 and 14082. The biggest common factor number is the GCF number.
So the greatest common factor 14064 and 14082 is 6.

Also check out the Least Common Multiple of 14064 and 14082