What is the Greatest Common Factor of 91182 and 91195?

Greatest common factor (GCF) of 91182 and 91195 is 13.

GCF(91182,91195) = 13

We will now calculate the prime factors of 91182 and 91195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91182 and 91195.

How to find the GCF of 91182 and 91195?

We will first find the prime factorization of 91182 and 91195. After we will calculate the factors of 91182 and 91195 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91195

Prime factors of 91195 are 5, 13, 23, 61. Prime factorization of 91195 in exponential form is:

91195 = 5¹ × 13¹ × 23¹ × 61¹

Step-3: Factors of 91182

List of positive integer factors of 91182 that divides 91182 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

Step-4: Factors of 91195

List of positive integer factors of 91195 that divides 91182 without a remainder.

1, 5, 13, 23, 61, 65, 115, 299, 305, 793, 1403, 1495, 3965, 7015, 18239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91182 and 91195. The biggest common factor number is the GCF number.
So the greatest common factor 91182 and 91195 is 13.

Also check out the Least Common Multiple of 91182 and 91195