What is the Greatest Common Factor of 71688 and 71705?

Greatest common factor (GCF) of 71688 and 71705 is 1.

GCF(71688,71705) = 1

We will now calculate the prime factors of 71688 and 71705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71688 and 71705.

How to find the GCF of 71688 and 71705?

We will first find the prime factorization of 71688 and 71705. After we will calculate the factors of 71688 and 71705 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 71705

Prime factors of 71705 are 5, 14341. Prime factorization of 71705 in exponential form is:

71705 = 5¹ × 14341¹

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 71705

List of positive integer factors of 71705 that divides 71688 without a remainder.

1, 5, 14341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71688 and 71705. The biggest common factor number is the GCF number.
So the greatest common factor 71688 and 71705 is 1.

Also check out the Least Common Multiple of 71688 and 71705