What is the Greatest Common Factor of 12694 and 12700?

Greatest common factor (GCF) of 12694 and 12700 is 2.

GCF(12694,12700) = 2

We will now calculate the prime factors of 12694 and 12700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12694 and 12700.

How to find the GCF of 12694 and 12700?

We will first find the prime factorization of 12694 and 12700. After we will calculate the factors of 12694 and 12700 and find the biggest common factor number .

Step-1: Prime Factorization of 12694

Prime factors of 12694 are 2, 11, 577. Prime factorization of 12694 in exponential form is:

12694 = 2¹ × 11¹ × 577¹

Step-2: Prime Factorization of 12700

Prime factors of 12700 are 2, 5, 127. Prime factorization of 12700 in exponential form is:

12700 = 2² × 5² × 127¹

Step-3: Factors of 12694

List of positive integer factors of 12694 that divides 12694 without a remainder.

1, 2, 11, 22, 577, 1154, 6347

Step-4: Factors of 12700

List of positive integer factors of 12700 that divides 12694 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 127, 254, 508, 635, 1270, 2540, 3175, 6350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12694 and 12700. The biggest common factor number is the GCF number.
So the greatest common factor 12694 and 12700 is 2.

Also check out the Least Common Multiple of 12694 and 12700