What is the Greatest Common Factor of 32048 and 32059?

Greatest common factor (GCF) of 32048 and 32059 is 1.

GCF(32048,32059) = 1

We will now calculate the prime factors of 32048 and 32059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32048 and 32059.

How to find the GCF of 32048 and 32059?

We will first find the prime factorization of 32048 and 32059. After we will calculate the factors of 32048 and 32059 and find the biggest common factor number .

Step-1: Prime Factorization of 32048

Prime factors of 32048 are 2, 2003. Prime factorization of 32048 in exponential form is:

32048 = 2⁴ × 2003¹

Step-2: Prime Factorization of 32059

Prime factors of 32059 are 32059. Prime factorization of 32059 in exponential form is:

32059 = 32059¹

Step-3: Factors of 32048

List of positive integer factors of 32048 that divides 32048 without a remainder.

1, 2, 4, 8, 16, 2003, 4006, 8012, 16024

Step-4: Factors of 32059

List of positive integer factors of 32059 that divides 32048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32048 and 32059. The biggest common factor number is the GCF number.
So the greatest common factor 32048 and 32059 is 1.

Also check out the Least Common Multiple of 32048 and 32059