What is the Greatest Common Factor of 71688 and 71708?

Greatest common factor (GCF) of 71688 and 71708 is 4.

GCF(71688,71708) = 4

We will now calculate the prime factors of 71688 and 71708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71688 and 71708.

How to find the GCF of 71688 and 71708?

We will first find the prime factorization of 71688 and 71708. After we will calculate the factors of 71688 and 71708 and find the biggest common factor number .

Step-1: Prime Factorization of 71688

Prime factors of 71688 are 2, 3, 29, 103. Prime factorization of 71688 in exponential form is:

71688 = 2³ × 3¹ × 29¹ × 103¹

Step-2: 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-3: Factors of 71688

List of positive integer factors of 71688 that divides 71688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 103, 116, 174, 206, 232, 309, 348, 412, 618, 696, 824, 1236, 2472, 2987, 5974, 8961, 11948, 17922, 23896, 35844

Step-4: Factors of 71708

List of positive integer factors of 71708 that divides 71688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71688 and 71708. The biggest common factor number is the GCF number.
So the greatest common factor 71688 and 71708 is 4.

Also check out the Least Common Multiple of 71688 and 71708