What is the Greatest Common Factor of 96960 and 96968?

Greatest common factor (GCF) of 96960 and 96968 is 8.

GCF(96960,96968) = 8

We will now calculate the prime factors of 96960 and 96968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96960 and 96968.

How to find the GCF of 96960 and 96968?

We will first find the prime factorization of 96960 and 96968. After we will calculate the factors of 96960 and 96968 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 96968

Prime factors of 96968 are 2, 17, 23, 31. Prime factorization of 96968 in exponential form is:

96968 = 2³ × 17¹ × 23¹ × 31¹

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 96968

List of positive integer factors of 96968 that divides 96960 without a remainder.

1, 2, 4, 8, 17, 23, 31, 34, 46, 62, 68, 92, 124, 136, 184, 248, 391, 527, 713, 782, 1054, 1426, 1564, 2108, 2852, 3128, 4216, 5704, 12121, 24242, 48484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96960 and 96968. The biggest common factor number is the GCF number.
So the greatest common factor 96960 and 96968 is 8.

Also check out the Least Common Multiple of 96960 and 96968