What is the Greatest Common Factor of 13700 and 13718?

Greatest common factor (GCF) of 13700 and 13718 is 2.

GCF(13700,13718) = 2

We will now calculate the prime factors of 13700 and 13718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13700 and 13718.

How to find the GCF of 13700 and 13718?

We will first find the prime factorization of 13700 and 13718. After we will calculate the factors of 13700 and 13718 and find the biggest common factor number .

Step-1: Prime Factorization of 13700

Prime factors of 13700 are 2, 5, 137. Prime factorization of 13700 in exponential form is:

13700 = 2² × 5² × 137¹

Step-2: Prime Factorization of 13718

Prime factors of 13718 are 2, 19. Prime factorization of 13718 in exponential form is:

13718 = 2¹ × 19³

Step-3: Factors of 13700

List of positive integer factors of 13700 that divides 13700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 137, 274, 548, 685, 1370, 2740, 3425, 6850

Step-4: Factors of 13718

List of positive integer factors of 13718 that divides 13700 without a remainder.

1, 2, 19, 38, 361, 722, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13700 and 13718. The biggest common factor number is the GCF number.
So the greatest common factor 13700 and 13718 is 2.

Also check out the Least Common Multiple of 13700 and 13718