What is the Greatest Common Factor of 16074 and 16081?

Greatest common factor (GCF) of 16074 and 16081 is 1.

GCF(16074,16081) = 1

We will now calculate the prime factors of 16074 and 16081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16074 and 16081.

How to find the GCF of 16074 and 16081?

We will first find the prime factorization of 16074 and 16081. After we will calculate the factors of 16074 and 16081 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 16081

Prime factors of 16081 are 13, 1237. Prime factorization of 16081 in exponential form is:

16081 = 13¹ × 1237¹

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 16081

List of positive integer factors of 16081 that divides 16074 without a remainder.

1, 13, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16074 and 16081. The biggest common factor number is the GCF number.
So the greatest common factor 16074 and 16081 is 1.

Also check out the Least Common Multiple of 16074 and 16081