What is the Greatest Common Factor of 96966 and 96973?

Greatest common factor (GCF) of 96966 and 96973 is 1.

GCF(96966,96973) = 1

We will now calculate the prime factors of 96966 and 96973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96966 and 96973.

How to find the GCF of 96966 and 96973?

We will first find the prime factorization of 96966 and 96973. After we will calculate the factors of 96966 and 96973 and find the biggest common factor number .

Step-1: Prime Factorization of 96966

Prime factors of 96966 are 2, 3, 5387. Prime factorization of 96966 in exponential form is:

96966 = 2¹ × 3² × 5387¹

Step-2: Prime Factorization of 96973

Prime factors of 96973 are 96973. Prime factorization of 96973 in exponential form is:

96973 = 96973¹

Step-3: Factors of 96966

List of positive integer factors of 96966 that divides 96966 without a remainder.

1, 2, 3, 6, 9, 18, 5387, 10774, 16161, 32322, 48483

Step-4: Factors of 96973

List of positive integer factors of 96973 that divides 96966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96966 and 96973. The biggest common factor number is the GCF number.
So the greatest common factor 96966 and 96973 is 1.

Also check out the Least Common Multiple of 96966 and 96973