What is the Greatest Common Factor of 16072 and 16084?

Greatest common factor (GCF) of 16072 and 16084 is 4.

GCF(16072,16084) = 4

We will now calculate the prime factors of 16072 and 16084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16084.

How to find the GCF of 16072 and 16084?

We will first find the prime factorization of 16072 and 16084. After we will calculate the factors of 16072 and 16084 and find the biggest common factor number .

Step-1: Prime Factorization of 16072

Prime factors of 16072 are 2, 7, 41. Prime factorization of 16072 in exponential form is:

16072 = 2³ × 7² × 41¹

Step-2: Prime Factorization of 16084

Prime factors of 16084 are 2, 4021. Prime factorization of 16084 in exponential form is:

16084 = 2² × 4021¹

Step-3: Factors of 16072

List of positive integer factors of 16072 that divides 16072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 49, 56, 82, 98, 164, 196, 287, 328, 392, 574, 1148, 2009, 2296, 4018, 8036

Step-4: Factors of 16084

List of positive integer factors of 16084 that divides 16072 without a remainder.

1, 2, 4, 4021, 8042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16084. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16084 is 4.

Also check out the Least Common Multiple of 16072 and 16084