What is the Greatest Common Factor of 71708 and 71714?

Greatest common factor (GCF) of 71708 and 71714 is 2.

GCF(71708,71714) = 2

We will now calculate the prime factors of 71708 and 71714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71708 and 71714.

How to find the GCF of 71708 and 71714?

We will first find the prime factorization of 71708 and 71714. After we will calculate the factors of 71708 and 71714 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 71714

Prime factors of 71714 are 2, 23, 1559. Prime factorization of 71714 in exponential form is:

71714 = 2¹ × 23¹ × 1559¹

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 71714

List of positive integer factors of 71714 that divides 71708 without a remainder.

1, 2, 23, 46, 1559, 3118, 35857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71708 and 71714. The biggest common factor number is the GCF number.
So the greatest common factor 71708 and 71714 is 2.

Also check out the Least Common Multiple of 71708 and 71714