What is the Greatest Common Factor of 8052 and 8072?

Greatest common factor (GCF) of 8052 and 8072 is 4.

GCF(8052,8072) = 4

We will now calculate the prime factors of 8052 and 8072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8052 and 8072.

How to find the GCF of 8052 and 8072?

We will first find the prime factorization of 8052 and 8072. After we will calculate the factors of 8052 and 8072 and find the biggest common factor number .

Step-1: Prime Factorization of 8052

Prime factors of 8052 are 2, 3, 11, 61. Prime factorization of 8052 in exponential form is:

8052 = 2² × 3¹ × 11¹ × 61¹

Step-2: Prime Factorization of 8072

Prime factors of 8072 are 2, 1009. Prime factorization of 8072 in exponential form is:

8072 = 2³ × 1009¹

Step-3: Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026

Step-4: Factors of 8072

List of positive integer factors of 8072 that divides 8052 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8052 and 8072. The biggest common factor number is the GCF number.
So the greatest common factor 8052 and 8072 is 4.

Also check out the Least Common Multiple of 8052 and 8072