What is the Greatest Common Factor of 96965 and 96970?

Greatest common factor (GCF) of 96965 and 96970 is 5.

GCF(96965,96970) = 5

We will now calculate the prime factors of 96965 and 96970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96965 and 96970.

How to find the GCF of 96965 and 96970?

We will first find the prime factorization of 96965 and 96970. After we will calculate the factors of 96965 and 96970 and find the biggest common factor number .

Step-1: Prime Factorization of 96965

Prime factors of 96965 are 5, 11, 41, 43. Prime factorization of 96965 in exponential form is:

96965 = 5¹ × 11¹ × 41¹ × 43¹

Step-2: Prime Factorization of 96970

Prime factors of 96970 are 2, 5, 9697. Prime factorization of 96970 in exponential form is:

96970 = 2¹ × 5¹ × 9697¹

Step-3: Factors of 96965

List of positive integer factors of 96965 that divides 96965 without a remainder.

1, 5, 11, 41, 43, 55, 205, 215, 451, 473, 1763, 2255, 2365, 8815, 19393

Step-4: Factors of 96970

List of positive integer factors of 96970 that divides 96965 without a remainder.

1, 2, 5, 10, 9697, 19394, 48485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96965 and 96970. The biggest common factor number is the GCF number.
So the greatest common factor 96965 and 96970 is 5.

Also check out the Least Common Multiple of 96965 and 96970