What is the Greatest Common Factor of 96960 and 96964?

Greatest common factor (GCF) of 96960 and 96964 is 4.

GCF(96960,96964) = 4

We will now calculate the prime factors of 96960 and 96964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96960 and 96964.

How to find the GCF of 96960 and 96964?

We will first find the prime factorization of 96960 and 96964. After we will calculate the factors of 96960 and 96964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96964

Prime factors of 96964 are 2, 7, 3463. Prime factorization of 96964 in exponential form is:

96964 = 2² × 7¹ × 3463¹

Step-3: Factors of 96960

List of positive integer factors of 96960 that divides 96960 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

Step-4: Factors of 96964

List of positive integer factors of 96964 that divides 96960 without a remainder.

1, 2, 4, 7, 14, 28, 3463, 6926, 13852, 24241, 48482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96960 and 96964. The biggest common factor number is the GCF number.
So the greatest common factor 96960 and 96964 is 4.

Also check out the Least Common Multiple of 96960 and 96964