What is the Greatest Common Factor of 71688 and 71704?

Greatest common factor (GCF) of 71688 and 71704 is 8.

GCF(71688,71704) = 8

We will now calculate the prime factors of 71688 and 71704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71688 and 71704.

How to find the GCF of 71688 and 71704?

We will first find the prime factorization of 71688 and 71704. After we will calculate the factors of 71688 and 71704 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 71704

Prime factors of 71704 are 2, 8963. Prime factorization of 71704 in exponential form is:

71704 = 2³ × 8963¹

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 71704

List of positive integer factors of 71704 that divides 71688 without a remainder.

1, 2, 4, 8, 8963, 17926, 35852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71688 and 71704. The biggest common factor number is the GCF number.
So the greatest common factor 71688 and 71704 is 8.

Also check out the Least Common Multiple of 71688 and 71704