What is the Greatest Common Factor of 13694 and 13712?

Greatest common factor (GCF) of 13694 and 13712 is 2.

GCF(13694,13712) = 2

We will now calculate the prime factors of 13694 and 13712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13694 and 13712.

How to find the GCF of 13694 and 13712?

We will first find the prime factorization of 13694 and 13712. After we will calculate the factors of 13694 and 13712 and find the biggest common factor number .

Step-1: Prime Factorization of 13694

Prime factors of 13694 are 2, 41, 167. Prime factorization of 13694 in exponential form is:

13694 = 2¹ × 41¹ × 167¹

Step-2: Prime Factorization of 13712

Prime factors of 13712 are 2, 857. Prime factorization of 13712 in exponential form is:

13712 = 2⁴ × 857¹

Step-3: Factors of 13694

List of positive integer factors of 13694 that divides 13694 without a remainder.

1, 2, 41, 82, 167, 334, 6847

Step-4: Factors of 13712

List of positive integer factors of 13712 that divides 13694 without a remainder.

1, 2, 4, 8, 16, 857, 1714, 3428, 6856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13694 and 13712. The biggest common factor number is the GCF number.
So the greatest common factor 13694 and 13712 is 2.

Also check out the Least Common Multiple of 13694 and 13712