What is the Greatest Common Factor of 16075 and 16080?

Greatest common factor (GCF) of 16075 and 16080 is 5.

GCF(16075,16080) = 5

We will now calculate the prime factors of 16075 and 16080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16075 and 16080.

How to find the GCF of 16075 and 16080?

We will first find the prime factorization of 16075 and 16080. After we will calculate the factors of 16075 and 16080 and find the biggest common factor number .

Step-1: Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 5² × 643¹

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 16075

List of positive integer factors of 16075 that divides 16075 without a remainder.

1, 5, 25, 643, 3215

Step-4: Factors of 16080

List of positive integer factors of 16080 that divides 16075 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 16075 and 16080. The biggest common factor number is the GCF number.
So the greatest common factor 16075 and 16080 is 5.

Also check out the Least Common Multiple of 16075 and 16080