What is the Greatest Common Factor of 91168 and 91182?

Greatest common factor (GCF) of 91168 and 91182 is 14.

GCF(91168,91182) = 14

We will now calculate the prime factors of 91168 and 91182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91168 and 91182.

How to find the GCF of 91168 and 91182?

We will first find the prime factorization of 91168 and 91182. After we will calculate the factors of 91168 and 91182 and find the biggest common factor number .

Step-1: Prime Factorization of 91168

Prime factors of 91168 are 2, 7, 11, 37. Prime factorization of 91168 in exponential form is:

91168 = 2⁵ × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 91182

Prime factors of 91182 are 2, 3, 7, 13, 167. Prime factorization of 91182 in exponential form is:

91182 = 2¹ × 3¹ × 7¹ × 13¹ × 167¹

Step-3: Factors of 91168

List of positive integer factors of 91168 that divides 91168 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 37, 44, 56, 74, 77, 88, 112, 148, 154, 176, 224, 259, 296, 308, 352, 407, 518, 592, 616, 814, 1036, 1184, 1232, 1628, 2072, 2464, 2849, 3256, 4144, 5698, 6512, 8288, 11396, 13024, 22792, 45584

Step-4: Factors of 91182

List of positive integer factors of 91182 that divides 91168 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 167, 182, 273, 334, 501, 546, 1002, 1169, 2171, 2338, 3507, 4342, 6513, 7014, 13026, 15197, 30394, 45591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91168 and 91182. The biggest common factor number is the GCF number.
So the greatest common factor 91168 and 91182 is 14.

Also check out the Least Common Multiple of 91168 and 91182