What is the Greatest Common Factor of 12950 and 12962?

Greatest common factor (GCF) of 12950 and 12962 is 2.

GCF(12950,12962) = 2

We will now calculate the prime factors of 12950 and 12962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12950 and 12962.

How to find the GCF of 12950 and 12962?

We will first find the prime factorization of 12950 and 12962. After we will calculate the factors of 12950 and 12962 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12962

Prime factors of 12962 are 2, 6481. Prime factorization of 12962 in exponential form is:

12962 = 2¹ × 6481¹

Step-3: Factors of 12950

List of positive integer factors of 12950 that divides 12950 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

Step-4: Factors of 12962

List of positive integer factors of 12962 that divides 12950 without a remainder.

1, 2, 6481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12950 and 12962. The biggest common factor number is the GCF number.
So the greatest common factor 12950 and 12962 is 2.

Also check out the Least Common Multiple of 12950 and 12962