What is the Greatest Common Factor of 71712 and 71726?

Greatest common factor (GCF) of 71712 and 71726 is 2.

GCF(71712,71726) = 2

We will now calculate the prime factors of 71712 and 71726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71712 and 71726.

How to find the GCF of 71712 and 71726?

We will first find the prime factorization of 71712 and 71726. After we will calculate the factors of 71712 and 71726 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 71726

Prime factors of 71726 are 2, 35863. Prime factorization of 71726 in exponential form is:

71726 = 2¹ × 35863¹

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 71726

List of positive integer factors of 71726 that divides 71712 without a remainder.

1, 2, 35863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71712 and 71726. The biggest common factor number is the GCF number.
So the greatest common factor 71712 and 71726 is 2.

Also check out the Least Common Multiple of 71712 and 71726