What is the Greatest Common Factor of 71687 and 71698?

Greatest common factor (GCF) of 71687 and 71698 is 11.

GCF(71687,71698) = 11

We will now calculate the prime factors of 71687 and 71698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71687 and 71698.

How to find the GCF of 71687 and 71698?

We will first find the prime factorization of 71687 and 71698. After we will calculate the factors of 71687 and 71698 and find the biggest common factor number .

Step-1: Prime Factorization of 71687

Prime factors of 71687 are 7, 11, 19. Prime factorization of 71687 in exponential form is:

71687 = 7³ × 11¹ × 19¹

Step-2: 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-3: Factors of 71687

List of positive integer factors of 71687 that divides 71687 without a remainder.

1, 7, 11, 19, 49, 77, 133, 209, 343, 539, 931, 1463, 3773, 6517, 10241

Step-4: Factors of 71698

List of positive integer factors of 71698 that divides 71687 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71687 and 71698. The biggest common factor number is the GCF number.
So the greatest common factor 71687 and 71698 is 11.

Also check out the Least Common Multiple of 71687 and 71698