What is the Greatest Common Factor of 16074 and 16083?

Greatest common factor (GCF) of 16074 and 16083 is 9.

GCF(16074,16083) = 9

We will now calculate the prime factors of 16074 and 16083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16074 and 16083.

How to find the GCF of 16074 and 16083?

We will first find the prime factorization of 16074 and 16083. After we will calculate the factors of 16074 and 16083 and find the biggest common factor number .

Step-1: Prime Factorization of 16074

Prime factors of 16074 are 2, 3, 19, 47. Prime factorization of 16074 in exponential form is:

16074 = 2¹ × 3² × 19¹ × 47¹

Step-2: Prime Factorization of 16083

Prime factors of 16083 are 3, 1787. Prime factorization of 16083 in exponential form is:

16083 = 3² × 1787¹

Step-3: Factors of 16074

List of positive integer factors of 16074 that divides 16074 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 47, 57, 94, 114, 141, 171, 282, 342, 423, 846, 893, 1786, 2679, 5358, 8037

Step-4: Factors of 16083

List of positive integer factors of 16083 that divides 16074 without a remainder.

1, 3, 9, 1787, 5361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16074 and 16083. The biggest common factor number is the GCF number.
So the greatest common factor 16074 and 16083 is 9.

Also check out the Least Common Multiple of 16074 and 16083