What is the Greatest Common Factor of 96945 and 96952?

Greatest common factor (GCF) of 96945 and 96952 is 1.

GCF(96945,96952) = 1

We will now calculate the prime factors of 96945 and 96952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96945 and 96952.

How to find the GCF of 96945 and 96952?

We will first find the prime factorization of 96945 and 96952. After we will calculate the factors of 96945 and 96952 and find the biggest common factor number .

Step-1: Prime Factorization of 96945

Prime factors of 96945 are 3, 5, 23, 281. Prime factorization of 96945 in exponential form is:

96945 = 3¹ × 5¹ × 23¹ × 281¹

Step-2: Prime Factorization of 96952

Prime factors of 96952 are 2, 12119. Prime factorization of 96952 in exponential form is:

96952 = 2³ × 12119¹

Step-3: Factors of 96945

List of positive integer factors of 96945 that divides 96945 without a remainder.

1, 3, 5, 15, 23, 69, 115, 281, 345, 843, 1405, 4215, 6463, 19389, 32315

Step-4: Factors of 96952

List of positive integer factors of 96952 that divides 96945 without a remainder.

1, 2, 4, 8, 12119, 24238, 48476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96945 and 96952. The biggest common factor number is the GCF number.
So the greatest common factor 96945 and 96952 is 1.

Also check out the Least Common Multiple of 96945 and 96952