What is the Greatest Common Factor of 8032 and 8052?

Greatest common factor (GCF) of 8032 and 8052 is 4.

GCF(8032,8052) = 4

We will now calculate the prime factors of 8032 and 8052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8032 and 8052.

How to find the GCF of 8032 and 8052?

We will first find the prime factorization of 8032 and 8052. After we will calculate the factors of 8032 and 8052 and find the biggest common factor number .

Step-1: Prime Factorization of 8032

Prime factors of 8032 are 2, 251. Prime factorization of 8032 in exponential form is:

8032 = 2⁵ × 251¹

Step-2: 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-3: Factors of 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016

Step-4: Factors of 8052

List of positive integer factors of 8052 that divides 8032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8032 and 8052. The biggest common factor number is the GCF number.
So the greatest common factor 8032 and 8052 is 4.

Also check out the Least Common Multiple of 8032 and 8052