What is the Greatest Common Factor of 91712 and 91728?

Greatest common factor (GCF) of 91712 and 91728 is 16.

GCF(91712,91728) = 16

We will now calculate the prime factors of 91712 and 91728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91712 and 91728.

How to find the GCF of 91712 and 91728?

We will first find the prime factorization of 91712 and 91728. After we will calculate the factors of 91712 and 91728 and find the biggest common factor number .

Step-1: Prime Factorization of 91712

Prime factors of 91712 are 2, 1433. Prime factorization of 91712 in exponential form is:

91712 = 2⁶ × 1433¹

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 91712

List of positive integer factors of 91712 that divides 91712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1433, 2866, 5732, 11464, 22928, 45856

Step-4: Factors of 91728

List of positive integer factors of 91728 that divides 91712 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 91712 and 91728. The biggest common factor number is the GCF number.
So the greatest common factor 91712 and 91728 is 16.

Also check out the Least Common Multiple of 91712 and 91728