What is the Greatest Common Factor of 96945 and 96960?

Greatest common factor (GCF) of 96945 and 96960 is 15.

GCF(96945,96960) = 15

We will now calculate the prime factors of 96945 and 96960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96945 and 96960.

How to find the GCF of 96945 and 96960?

We will first find the prime factorization of 96945 and 96960. After we will calculate the factors of 96945 and 96960 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 96960

Prime factors of 96960 are 2, 3, 5, 101. Prime factorization of 96960 in exponential form is:

96960 = 2⁶ × 3¹ × 5¹ × 101¹

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 96960

List of positive integer factors of 96960 that divides 96945 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 101, 120, 160, 192, 202, 240, 303, 320, 404, 480, 505, 606, 808, 960, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 3232, 4040, 4848, 6060, 6464, 8080, 9696, 12120, 16160, 19392, 24240, 32320, 48480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96945 and 96960. The biggest common factor number is the GCF number.
So the greatest common factor 96945 and 96960 is 15.

Also check out the Least Common Multiple of 96945 and 96960