What is the Greatest Common Factor of 14100 and 14108?

Greatest common factor (GCF) of 14100 and 14108 is 4.

GCF(14100,14108) = 4

We will now calculate the prime factors of 14100 and 14108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14100 and 14108.

How to find the GCF of 14100 and 14108?

We will first find the prime factorization of 14100 and 14108. After we will calculate the factors of 14100 and 14108 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 14108

Prime factors of 14108 are 2, 3527. Prime factorization of 14108 in exponential form is:

14108 = 2² × 3527¹

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 14108

List of positive integer factors of 14108 that divides 14100 without a remainder.

1, 2, 4, 3527, 7054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14100 and 14108. The biggest common factor number is the GCF number.
So the greatest common factor 14100 and 14108 is 4.

Also check out the Least Common Multiple of 14100 and 14108