What is the Greatest Common Factor of 14076 and 14088?

Greatest common factor (GCF) of 14076 and 14088 is 12.

GCF(14076,14088) = 12

We will now calculate the prime factors of 14076 and 14088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14076 and 14088.

How to find the GCF of 14076 and 14088?

We will first find the prime factorization of 14076 and 14088. After we will calculate the factors of 14076 and 14088 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14088

Prime factors of 14088 are 2, 3, 587. Prime factorization of 14088 in exponential form is:

14088 = 2³ × 3¹ × 587¹

Step-3: Factors of 14076

List of positive integer factors of 14076 that divides 14076 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

Step-4: Factors of 14088

List of positive integer factors of 14088 that divides 14076 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 587, 1174, 1761, 2348, 3522, 4696, 7044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14076 and 14088. The biggest common factor number is the GCF number.
So the greatest common factor 14076 and 14088 is 12.

Also check out the Least Common Multiple of 14076 and 14088