What is the Greatest Common Factor of 96960 and 96972?

Greatest common factor (GCF) of 96960 and 96972 is 12.

GCF(96960,96972) = 12

We will now calculate the prime factors of 96960 and 96972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96960 and 96972.

How to find the GCF of 96960 and 96972?

We will first find the prime factorization of 96960 and 96972. After we will calculate the factors of 96960 and 96972 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 96972

Prime factors of 96972 are 2, 3, 8081. Prime factorization of 96972 in exponential form is:

96972 = 2² × 3¹ × 8081¹

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 96972

List of positive integer factors of 96972 that divides 96960 without a remainder.

1, 2, 3, 4, 6, 12, 8081, 16162, 24243, 32324, 48486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96960 and 96972. The biggest common factor number is the GCF number.
So the greatest common factor 96960 and 96972 is 12.

Also check out the Least Common Multiple of 96960 and 96972