What is the Greatest Common Factor of 96945 and 96965?

Greatest common factor (GCF) of 96945 and 96965 is 5.

GCF(96945,96965) = 5

We will now calculate the prime factors of 96945 and 96965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96945 and 96965.

How to find the GCF of 96945 and 96965?

We will first find the prime factorization of 96945 and 96965. After we will calculate the factors of 96945 and 96965 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 96965

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

96965 = 5¹ × 11¹ × 41¹ × 43¹

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 96965

List of positive integer factors of 96965 that divides 96945 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96945 and 96965. The biggest common factor number is the GCF number.
So the greatest common factor 96945 and 96965 is 5.

Also check out the Least Common Multiple of 96945 and 96965