What is the Greatest Common Factor of 71712 and 71730?

Greatest common factor (GCF) of 71712 and 71730 is 18.

GCF(71712,71730) = 18

We will now calculate the prime factors of 71712 and 71730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71712 and 71730.

How to find the GCF of 71712 and 71730?

We will first find the prime factorization of 71712 and 71730. After we will calculate the factors of 71712 and 71730 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 71730

Prime factors of 71730 are 2, 3, 5, 797. Prime factorization of 71730 in exponential form is:

71730 = 2¹ × 3² × 5¹ × 797¹

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 71730

List of positive integer factors of 71730 that divides 71712 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 797, 1594, 2391, 3985, 4782, 7173, 7970, 11955, 14346, 23910, 35865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71712 and 71730. The biggest common factor number is the GCF number.
So the greatest common factor 71712 and 71730 is 18.

Also check out the Least Common Multiple of 71712 and 71730