What is the Greatest Common Factor of 16073 and 16080?

Greatest common factor (GCF) of 16073 and 16080 is 1.

GCF(16073,16080) = 1

We will now calculate the prime factors of 16073 and 16080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16073 and 16080.

How to find the GCF of 16073 and 16080?

We will first find the prime factorization of 16073 and 16080. After we will calculate the factors of 16073 and 16080 and find the biggest common factor number .

Step-1: Prime Factorization of 16073

Prime factors of 16073 are 16073. Prime factorization of 16073 in exponential form is:

16073 = 16073¹

Step-2: Prime Factorization of 16080

Prime factors of 16080 are 2, 3, 5, 67. Prime factorization of 16080 in exponential form is:

16080 = 2⁴ × 3¹ × 5¹ × 67¹

Step-3: Factors of 16073

List of positive integer factors of 16073 that divides 16073 without a remainder.

Step-4: Factors of 16080

List of positive integer factors of 16080 that divides 16073 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 67, 80, 120, 134, 201, 240, 268, 335, 402, 536, 670, 804, 1005, 1072, 1340, 1608, 2010, 2680, 3216, 4020, 5360, 8040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16073 and 16080. The biggest common factor number is the GCF number.
So the greatest common factor 16073 and 16080 is 1.

Also check out the Least Common Multiple of 16073 and 16080