What is the Greatest Common Factor of 12935 and 12950?

Greatest common factor (GCF) of 12935 and 12950 is 5.

GCF(12935,12950) = 5

We will now calculate the prime factors of 12935 and 12950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12935 and 12950.

How to find the GCF of 12935 and 12950?

We will first find the prime factorization of 12935 and 12950. After we will calculate the factors of 12935 and 12950 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 12950

Prime factors of 12950 are 2, 5, 7, 37. Prime factorization of 12950 in exponential form is:

12950 = 2¹ × 5² × 7¹ × 37¹

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 12950

List of positive integer factors of 12950 that divides 12935 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 37, 50, 70, 74, 175, 185, 259, 350, 370, 518, 925, 1295, 1850, 2590, 6475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12935 and 12950. The biggest common factor number is the GCF number.
So the greatest common factor 12935 and 12950 is 5.

Also check out the Least Common Multiple of 12935 and 12950