What is the Greatest Common Factor of 97932 and 97952?

Greatest common factor (GCF) of 97932 and 97952 is 4.

GCF(97932,97952) = 4

We will now calculate the prime factors of 97932 and 97952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97932 and 97952.

How to find the GCF of 97932 and 97952?

We will first find the prime factorization of 97932 and 97952. After we will calculate the factors of 97932 and 97952 and find the biggest common factor number .

Step-1: Prime Factorization of 97932

Prime factors of 97932 are 2, 3, 8161. Prime factorization of 97932 in exponential form is:

97932 = 2² × 3¹ × 8161¹

Step-2: Prime Factorization of 97952

Prime factors of 97952 are 2, 3061. Prime factorization of 97952 in exponential form is:

97952 = 2⁵ × 3061¹

Step-3: Factors of 97932

List of positive integer factors of 97932 that divides 97932 without a remainder.

1, 2, 3, 4, 6, 12, 8161, 16322, 24483, 32644, 48966

Step-4: Factors of 97952

List of positive integer factors of 97952 that divides 97932 without a remainder.

1, 2, 4, 8, 16, 32, 3061, 6122, 12244, 24488, 48976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97932 and 97952. The biggest common factor number is the GCF number.
So the greatest common factor 97932 and 97952 is 4.

Also check out the Least Common Multiple of 97932 and 97952