What is the Greatest Common Factor of 91713 and 91728?

Greatest common factor (GCF) of 91713 and 91728 is 3.

GCF(91713,91728) = 3

We will now calculate the prime factors of 91713 and 91728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91713 and 91728.

How to find the GCF of 91713 and 91728?

We will first find the prime factorization of 91713 and 91728. After we will calculate the factors of 91713 and 91728 and find the biggest common factor number .

Step-1: Prime Factorization of 91713

Prime factors of 91713 are 3, 19, 1609. Prime factorization of 91713 in exponential form is:

91713 = 3¹ × 19¹ × 1609¹

Step-2: 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-3: Factors of 91713

List of positive integer factors of 91713 that divides 91713 without a remainder.

1, 3, 19, 57, 1609, 4827, 30571

Step-4: Factors of 91728

List of positive integer factors of 91728 that divides 91713 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91713 and 91728. The biggest common factor number is the GCF number.
So the greatest common factor 91713 and 91728 is 3.

Also check out the Least Common Multiple of 91713 and 91728