What is the Greatest Common Factor of 13698 and 13710?

Greatest common factor (GCF) of 13698 and 13710 is 6.

GCF(13698,13710) = 6

We will now calculate the prime factors of 13698 and 13710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13698 and 13710.

How to find the GCF of 13698 and 13710?

We will first find the prime factorization of 13698 and 13710. After we will calculate the factors of 13698 and 13710 and find the biggest common factor number .

Step-1: Prime Factorization of 13698

Prime factors of 13698 are 2, 3, 761. Prime factorization of 13698 in exponential form is:

13698 = 2¹ × 3² × 761¹

Step-2: Prime Factorization of 13710

Prime factors of 13710 are 2, 3, 5, 457. Prime factorization of 13710 in exponential form is:

13710 = 2¹ × 3¹ × 5¹ × 457¹

Step-3: Factors of 13698

List of positive integer factors of 13698 that divides 13698 without a remainder.

1, 2, 3, 6, 9, 18, 761, 1522, 2283, 4566, 6849

Step-4: Factors of 13710

List of positive integer factors of 13710 that divides 13698 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 457, 914, 1371, 2285, 2742, 4570, 6855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13698 and 13710. The biggest common factor number is the GCF number.
So the greatest common factor 13698 and 13710 is 6.

Also check out the Least Common Multiple of 13698 and 13710