What is the Greatest Common Factor of 14064 and 14076?

Greatest common factor (GCF) of 14064 and 14076 is 12.

GCF(14064,14076) = 12

We will now calculate the prime factors of 14064 and 14076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14064 and 14076.

How to find the GCF of 14064 and 14076?

We will first find the prime factorization of 14064 and 14076. After we will calculate the factors of 14064 and 14076 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 14076

Prime factors of 14076 are 2, 3, 17, 23. Prime factorization of 14076 in exponential form is:

14076 = 2² × 3² × 17¹ × 23¹

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 14076

List of positive integer factors of 14076 that divides 14064 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 23, 34, 36, 46, 51, 68, 69, 92, 102, 138, 153, 204, 207, 276, 306, 391, 414, 612, 782, 828, 1173, 1564, 2346, 3519, 4692, 7038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14064 and 14076. The biggest common factor number is the GCF number.
So the greatest common factor 14064 and 14076 is 12.

Also check out the Least Common Multiple of 14064 and 14076