What is the Greatest Common Factor of 71708 and 71716?

Greatest common factor (GCF) of 71708 and 71716 is 4.

GCF(71708,71716) = 4

We will now calculate the prime factors of 71708 and 71716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71708 and 71716.

How to find the GCF of 71708 and 71716?

We will first find the prime factorization of 71708 and 71716. After we will calculate the factors of 71708 and 71716 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 71716

Prime factors of 71716 are 2, 17929. Prime factorization of 71716 in exponential form is:

71716 = 2² × 17929¹

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 71716

List of positive integer factors of 71716 that divides 71708 without a remainder.

1, 2, 4, 17929, 35858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71708 and 71716. The biggest common factor number is the GCF number.
So the greatest common factor 71708 and 71716 is 4.

Also check out the Least Common Multiple of 71708 and 71716