What is the Greatest Common Factor of 71712 and 71731?

Greatest common factor (GCF) of 71712 and 71731 is 1.

GCF(71712,71731) = 1

We will now calculate the prime factors of 71712 and 71731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71712 and 71731.

How to find the GCF of 71712 and 71731?

We will first find the prime factorization of 71712 and 71731. After we will calculate the factors of 71712 and 71731 and find the biggest common factor number .

Step-1: Prime Factorization of 71712

Prime factors of 71712 are 2, 3, 83. Prime factorization of 71712 in exponential form is:

71712 = 2⁵ × 3³ × 83¹

Step-2: Prime Factorization of 71731

Prime factors of 71731 are 11, 6521. Prime factorization of 71731 in exponential form is:

71731 = 11¹ × 6521¹

Step-3: Factors of 71712

List of positive integer factors of 71712 that divides 71712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 83, 96, 108, 144, 166, 216, 249, 288, 332, 432, 498, 664, 747, 864, 996, 1328, 1494, 1992, 2241, 2656, 2988, 3984, 4482, 5976, 7968, 8964, 11952, 17928, 23904, 35856

Step-4: Factors of 71731

List of positive integer factors of 71731 that divides 71712 without a remainder.

1, 11, 6521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71712 and 71731. The biggest common factor number is the GCF number.
So the greatest common factor 71712 and 71731 is 1.

Also check out the Least Common Multiple of 71712 and 71731