What is the Greatest Common Factor of 32048 and 32052?

Greatest common factor (GCF) of 32048 and 32052 is 4.

GCF(32048,32052) = 4

We will now calculate the prime factors of 32048 and 32052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32048 and 32052.

How to find the GCF of 32048 and 32052?

We will first find the prime factorization of 32048 and 32052. After we will calculate the factors of 32048 and 32052 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 32052

Prime factors of 32052 are 2, 3, 2671. Prime factorization of 32052 in exponential form is:

32052 = 2² × 3¹ × 2671¹

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 32052

List of positive integer factors of 32052 that divides 32048 without a remainder.

1, 2, 3, 4, 6, 12, 2671, 5342, 8013, 10684, 16026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32048 and 32052. The biggest common factor number is the GCF number.
So the greatest common factor 32048 and 32052 is 4.

Also check out the Least Common Multiple of 32048 and 32052