What is the Greatest Common Factor of 16072 and 16076?

Greatest common factor (GCF) of 16072 and 16076 is 4.

GCF(16072,16076) = 4

We will now calculate the prime factors of 16072 and 16076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16072 and 16076.

How to find the GCF of 16072 and 16076?

We will first find the prime factorization of 16072 and 16076. After we will calculate the factors of 16072 and 16076 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 16076

Prime factors of 16076 are 2, 4019. Prime factorization of 16076 in exponential form is:

16076 = 2² × 4019¹

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 16076

List of positive integer factors of 16076 that divides 16072 without a remainder.

1, 2, 4, 4019, 8038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16072 and 16076. The biggest common factor number is the GCF number.
So the greatest common factor 16072 and 16076 is 4.

Also check out the Least Common Multiple of 16072 and 16076