What is the Greatest Common Factor of 16067 and 16080?

Greatest common factor (GCF) of 16067 and 16080 is 1.

GCF(16067,16080) = 1

We will now calculate the prime factors of 16067 and 16080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16067 and 16080.

How to find the GCF of 16067 and 16080?

We will first find the prime factorization of 16067 and 16080. After we will calculate the factors of 16067 and 16080 and find the biggest common factor number .

Step-1: Prime Factorization of 16067

Prime factors of 16067 are 16067. Prime factorization of 16067 in exponential form is:

16067 = 16067¹

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 16067

List of positive integer factors of 16067 that divides 16067 without a remainder.

Step-4: Factors of 16080

List of positive integer factors of 16080 that divides 16067 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 16067 and 16080. The biggest common factor number is the GCF number.
So the greatest common factor 16067 and 16080 is 1.

Also check out the Least Common Multiple of 16067 and 16080