What is the Greatest Common Factor of 14100 and 14106?

Greatest common factor (GCF) of 14100 and 14106 is 6.

GCF(14100,14106) = 6

We will now calculate the prime factors of 14100 and 14106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14100 and 14106.

How to find the GCF of 14100 and 14106?

We will first find the prime factorization of 14100 and 14106. After we will calculate the factors of 14100 and 14106 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 14106

Prime factors of 14106 are 2, 3, 2351. Prime factorization of 14106 in exponential form is:

14106 = 2¹ × 3¹ × 2351¹

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 14106

List of positive integer factors of 14106 that divides 14100 without a remainder.

1, 2, 3, 6, 2351, 4702, 7053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14100 and 14106. The biggest common factor number is the GCF number.
So the greatest common factor 14100 and 14106 is 6.

Also check out the Least Common Multiple of 14100 and 14106