What is the Greatest Common Factor of 12940 and 12950?

Greatest common factor (GCF) of 12940 and 12950 is 10.

GCF(12940,12950) = 10

We will now calculate the prime factors of 12940 and 12950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12940 and 12950.

How to find the GCF of 12940 and 12950?

We will first find the prime factorization of 12940 and 12950. After we will calculate the factors of 12940 and 12950 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 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 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 12950

List of positive integer factors of 12950 that divides 12940 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 12940 and 12950. The biggest common factor number is the GCF number.
So the greatest common factor 12940 and 12950 is 10.

Also check out the Least Common Multiple of 12940 and 12950