What is the Greatest Common Factor of 48016 and 48028?

Greatest common factor (GCF) of 48016 and 48028 is 4.

GCF(48016,48028) = 4

We will now calculate the prime factors of 48016 and 48028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48016 and 48028.

How to find the GCF of 48016 and 48028?

We will first find the prime factorization of 48016 and 48028. After we will calculate the factors of 48016 and 48028 and find the biggest common factor number .

Step-1: Prime Factorization of 48016

Prime factors of 48016 are 2, 3001. Prime factorization of 48016 in exponential form is:

48016 = 2⁴ × 3001¹

Step-2: Prime Factorization of 48028

Prime factors of 48028 are 2, 12007. Prime factorization of 48028 in exponential form is:

48028 = 2² × 12007¹

Step-3: Factors of 48016

List of positive integer factors of 48016 that divides 48016 without a remainder.

1, 2, 4, 8, 16, 3001, 6002, 12004, 24008

Step-4: Factors of 48028

List of positive integer factors of 48028 that divides 48016 without a remainder.

1, 2, 4, 12007, 24014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48016 and 48028. The biggest common factor number is the GCF number.
So the greatest common factor 48016 and 48028 is 4.

Also check out the Least Common Multiple of 48016 and 48028