What is the Greatest Common Factor of 71708 and 71717?

Greatest common factor (GCF) of 71708 and 71717 is 1.

GCF(71708,71717) = 1

We will now calculate the prime factors of 71708 and 71717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71708 and 71717.

How to find the GCF of 71708 and 71717?

We will first find the prime factorization of 71708 and 71717. After we will calculate the factors of 71708 and 71717 and find the biggest common factor number .

Step-1: Prime Factorization of 71708

Prime factors of 71708 are 2, 7, 13, 197. Prime factorization of 71708 in exponential form is:

71708 = 2² × 7¹ × 13¹ × 197¹

Step-2: Prime Factorization of 71717

Prime factors of 71717 are 29, 2473. Prime factorization of 71717 in exponential form is:

71717 = 29¹ × 2473¹

Step-3: Factors of 71708

List of positive integer factors of 71708 that divides 71708 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 197, 364, 394, 788, 1379, 2561, 2758, 5122, 5516, 10244, 17927, 35854

Step-4: Factors of 71717

List of positive integer factors of 71717 that divides 71708 without a remainder.

1, 29, 2473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71708 and 71717. The biggest common factor number is the GCF number.
So the greatest common factor 71708 and 71717 is 1.

Also check out the Least Common Multiple of 71708 and 71717