What is the Greatest Common Factor of 12940 and 12960?

Greatest common factor (GCF) of 12940 and 12960 is 20.

GCF(12940,12960) = 20

We will now calculate the prime factors of 12940 and 12960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12940 and 12960.

How to find the GCF of 12940 and 12960?

We will first find the prime factorization of 12940 and 12960. After we will calculate the factors of 12940 and 12960 and find the biggest common factor number .

Step-1: Prime Factorization of 12940

Prime factors of 12940 are 2, 5, 647. Prime factorization of 12940 in exponential form is:

12940 = 2² × 5¹ × 647¹

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 12940

List of positive integer factors of 12940 that divides 12940 without a remainder.

1, 2, 4, 5, 10, 20, 647, 1294, 2588, 3235, 6470

Step-4: Factors of 12960

List of positive integer factors of 12960 that divides 12940 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 12940 and 12960. The biggest common factor number is the GCF number.
So the greatest common factor 12940 and 12960 is 20.

Also check out the Least Common Multiple of 12940 and 12960