What is the Greatest Common Factor of 91728 and 91734?

Greatest common factor (GCF) of 91728 and 91734 is 6.

GCF(91728,91734) = 6

We will now calculate the prime factors of 91728 and 91734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91728 and 91734.

How to find the GCF of 91728 and 91734?

We will first find the prime factorization of 91728 and 91734. After we will calculate the factors of 91728 and 91734 and find the biggest common factor number .

Step-1: Prime Factorization of 91728

Prime factors of 91728 are 2, 3, 7, 13. Prime factorization of 91728 in exponential form is:

91728 = 2⁴ × 3² × 7² × 13¹

Step-2: Prime Factorization of 91734

Prime factors of 91734 are 2, 3, 15289. Prime factorization of 91734 in exponential form is:

91734 = 2¹ × 3¹ × 15289¹

Step-3: Factors of 91728

List of positive integer factors of 91728 that divides 91728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 16, 18, 21, 24, 26, 28, 36, 39, 42, 48, 49, 52, 56, 63, 72, 78, 84, 91, 98, 104, 112, 117, 126, 144, 147, 156, 168, 182, 196, 208, 234, 252, 273, 294, 312, 336, 364, 392, 441, 468, 504, 546, 588, 624, 637, 728, 784, 819, 882, 936, 1008, 1092, 1176, 1274, 1456, 1638, 1764, 1872, 1911, 2184, 2352, 2548, 3276, 3528, 3822, 4368, 5096, 5733, 6552, 7056, 7644, 10192, 11466, 13104, 15288, 22932, 30576, 45864

Step-4: Factors of 91734

List of positive integer factors of 91734 that divides 91728 without a remainder.

1, 2, 3, 6, 15289, 30578, 45867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91728 and 91734. The biggest common factor number is the GCF number.
So the greatest common factor 91728 and 91734 is 6.

Also check out the Least Common Multiple of 91728 and 91734