What is the Greatest Common Factor of 71698 and 71709?

Greatest common factor (GCF) of 71698 and 71709 is 11.

GCF(71698,71709) = 11

We will now calculate the prime factors of 71698 and 71709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71698 and 71709.

How to find the GCF of 71698 and 71709?

We will first find the prime factorization of 71698 and 71709. After we will calculate the factors of 71698 and 71709 and find the biggest common factor number .

Step-1: Prime Factorization of 71698

Prime factors of 71698 are 2, 11, 3259. Prime factorization of 71698 in exponential form is:

71698 = 2¹ × 11¹ × 3259¹

Step-2: Prime Factorization of 71709

Prime factors of 71709 are 3, 11, 41, 53. Prime factorization of 71709 in exponential form is:

71709 = 3¹ × 11¹ × 41¹ × 53¹

Step-3: Factors of 71698

List of positive integer factors of 71698 that divides 71698 without a remainder.

1, 2, 11, 22, 3259, 6518, 35849

Step-4: Factors of 71709

List of positive integer factors of 71709 that divides 71698 without a remainder.

1, 3, 11, 33, 41, 53, 123, 159, 451, 583, 1353, 1749, 2173, 6519, 23903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71698 and 71709. The biggest common factor number is the GCF number.
So the greatest common factor 71698 and 71709 is 11.

Also check out the Least Common Multiple of 71698 and 71709