What is the Greatest Common Factor of 91182 and 91189?

Greatest common factor (GCF) of 91182 and 91189 is 7.

GCF(91182,91189) = 7

We will now calculate the prime factors of 91182 and 91189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91182 and 91189.

How to find the GCF of 91182 and 91189?

We will first find the prime factorization of 91182 and 91189. After we will calculate the factors of 91182 and 91189 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 91189

Prime factors of 91189 are 7, 1861. Prime factorization of 91189 in exponential form is:

91189 = 7² × 1861¹

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 91189

List of positive integer factors of 91189 that divides 91182 without a remainder.

1, 7, 49, 1861, 13027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91182 and 91189. The biggest common factor number is the GCF number.
So the greatest common factor 91182 and 91189 is 7.

Also check out the Least Common Multiple of 91182 and 91189