What is the Greatest Common Factor of 12960 and 12968?

Greatest common factor (GCF) of 12960 and 12968 is 8.

GCF(12960,12968) = 8

We will now calculate the prime factors of 12960 and 12968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12960 and 12968.

How to find the GCF of 12960 and 12968?

We will first find the prime factorization of 12960 and 12968. After we will calculate the factors of 12960 and 12968 and find the biggest common factor number .

Step-1: Prime Factorization of 12960

Prime factors of 12960 are 2, 3, 5. Prime factorization of 12960 in exponential form is:

12960 = 2⁵ × 3⁴ × 5¹

Step-2: Prime Factorization of 12968

Prime factors of 12968 are 2, 1621. Prime factorization of 12968 in exponential form is:

12968 = 2³ × 1621¹

Step-3: Factors of 12960

List of positive integer factors of 12960 that divides 12960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 216, 240, 270, 288, 324, 360, 405, 432, 480, 540, 648, 720, 810, 864, 1080, 1296, 1440, 1620, 2160, 2592, 3240, 4320, 6480

Step-4: Factors of 12968

List of positive integer factors of 12968 that divides 12960 without a remainder.

1, 2, 4, 8, 1621, 3242, 6484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12960 and 12968. The biggest common factor number is the GCF number.
So the greatest common factor 12960 and 12968 is 8.

Also check out the Least Common Multiple of 12960 and 12968