What is the Greatest Common Factor of 12951 and 12960?

Greatest common factor (GCF) of 12951 and 12960 is 9.

GCF(12951,12960) = 9

We will now calculate the prime factors of 12951 and 12960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12951 and 12960.

How to find the GCF of 12951 and 12960?

We will first find the prime factorization of 12951 and 12960. After we will calculate the factors of 12951 and 12960 and find the biggest common factor number .

Step-1: Prime Factorization of 12951

Prime factors of 12951 are 3, 1439. Prime factorization of 12951 in exponential form is:

12951 = 3² × 1439¹

Step-2: 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-3: Factors of 12951

List of positive integer factors of 12951 that divides 12951 without a remainder.

1, 3, 9, 1439, 4317

Step-4: Factors of 12960

List of positive integer factors of 12960 that divides 12951 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12951 and 12960. The biggest common factor number is the GCF number.
So the greatest common factor 12951 and 12960 is 9.

Also check out the Least Common Multiple of 12951 and 12960