What is the Greatest Common Factor of 32948 and 32952?

Greatest common factor (GCF) of 32948 and 32952 is 4.

GCF(32948,32952) = 4

We will now calculate the prime factors of 32948 and 32952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32948 and 32952.

How to find the GCF of 32948 and 32952?

We will first find the prime factorization of 32948 and 32952. After we will calculate the factors of 32948 and 32952 and find the biggest common factor number .

Step-1: Prime Factorization of 32948

Prime factors of 32948 are 2, 8237. Prime factorization of 32948 in exponential form is:

32948 = 2² × 8237¹

Step-2: Prime Factorization of 32952

Prime factors of 32952 are 2, 3, 1373. Prime factorization of 32952 in exponential form is:

32952 = 2³ × 3¹ × 1373¹

Step-3: Factors of 32948

List of positive integer factors of 32948 that divides 32948 without a remainder.

1, 2, 4, 8237, 16474

Step-4: Factors of 32952

List of positive integer factors of 32952 that divides 32948 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1373, 2746, 4119, 5492, 8238, 10984, 16476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32948 and 32952. The biggest common factor number is the GCF number.
So the greatest common factor 32948 and 32952 is 4.

Also check out the Least Common Multiple of 32948 and 32952