What is the Greatest Common Factor of 12935 and 12940?

Greatest common factor (GCF) of 12935 and 12940 is 5.

GCF(12935,12940) = 5

We will now calculate the prime factors of 12935 and 12940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12935 and 12940.

How to find the GCF of 12935 and 12940?

We will first find the prime factorization of 12935 and 12940. After we will calculate the factors of 12935 and 12940 and find the biggest common factor number .

Step-1: Prime Factorization of 12935

Prime factors of 12935 are 5, 13, 199. Prime factorization of 12935 in exponential form is:

12935 = 5¹ × 13¹ × 199¹

Step-2: 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-3: Factors of 12935

List of positive integer factors of 12935 that divides 12935 without a remainder.

1, 5, 13, 65, 199, 995, 2587

Step-4: Factors of 12940

List of positive integer factors of 12940 that divides 12935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12935 and 12940. The biggest common factor number is the GCF number.
So the greatest common factor 12935 and 12940 is 5.

Also check out the Least Common Multiple of 12935 and 12940