What is the Greatest Common Factor of 96532 and 96536?

Greatest common factor (GCF) of 96532 and 96536 is 4.

GCF(96532,96536) = 4

We will now calculate the prime factors of 96532 and 96536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96532 and 96536.

How to find the GCF of 96532 and 96536?

We will first find the prime factorization of 96532 and 96536. After we will calculate the factors of 96532 and 96536 and find the biggest common factor number .

Step-1: Prime Factorization of 96532

Prime factors of 96532 are 2, 24133. Prime factorization of 96532 in exponential form is:

96532 = 2² × 24133¹

Step-2: Prime Factorization of 96536

Prime factors of 96536 are 2, 11, 1097. Prime factorization of 96536 in exponential form is:

96536 = 2³ × 11¹ × 1097¹

Step-3: Factors of 96532

List of positive integer factors of 96532 that divides 96532 without a remainder.

1, 2, 4, 24133, 48266

Step-4: Factors of 96536

List of positive integer factors of 96536 that divides 96532 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1097, 2194, 4388, 8776, 12067, 24134, 48268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96532 and 96536. The biggest common factor number is the GCF number.
So the greatest common factor 96532 and 96536 is 4.

Also check out the Least Common Multiple of 96532 and 96536