What is the Greatest Common Factor of 71712 and 71732?

Greatest common factor (GCF) of 71712 and 71732 is 4.

GCF(71712,71732) = 4

We will now calculate the prime factors of 71712 and 71732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71712 and 71732.

How to find the GCF of 71712 and 71732?

We will first find the prime factorization of 71712 and 71732. After we will calculate the factors of 71712 and 71732 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 71732

Prime factors of 71732 are 2, 79, 227. Prime factorization of 71732 in exponential form is:

71732 = 2² × 79¹ × 227¹

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 71732

List of positive integer factors of 71732 that divides 71712 without a remainder.

1, 2, 4, 79, 158, 227, 316, 454, 908, 17933, 35866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71712 and 71732. The biggest common factor number is the GCF number.
So the greatest common factor 71712 and 71732 is 4.

Also check out the Least Common Multiple of 71712 and 71732