What is the Greatest Common Factor of 14100 and 14104?

Greatest common factor (GCF) of 14100 and 14104 is 4.

GCF(14100,14104) = 4

We will now calculate the prime factors of 14100 and 14104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14100 and 14104.

How to find the GCF of 14100 and 14104?

We will first find the prime factorization of 14100 and 14104. After we will calculate the factors of 14100 and 14104 and find the biggest common factor number .

Step-1: Prime Factorization of 14100

Prime factors of 14100 are 2, 3, 5, 47. Prime factorization of 14100 in exponential form is:

14100 = 2² × 3¹ × 5² × 47¹

Step-2: Prime Factorization of 14104

Prime factors of 14104 are 2, 41, 43. Prime factorization of 14104 in exponential form is:

14104 = 2³ × 41¹ × 43¹

Step-3: Factors of 14100

List of positive integer factors of 14100 that divides 14100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75, 94, 100, 141, 150, 188, 235, 282, 300, 470, 564, 705, 940, 1175, 1410, 2350, 2820, 3525, 4700, 7050

Step-4: Factors of 14104

List of positive integer factors of 14104 that divides 14100 without a remainder.

1, 2, 4, 8, 41, 43, 82, 86, 164, 172, 328, 344, 1763, 3526, 7052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14100 and 14104. The biggest common factor number is the GCF number.
So the greatest common factor 14100 and 14104 is 4.

Also check out the Least Common Multiple of 14100 and 14104