What is the Greatest Common Factor of 91175 and 91182?

Greatest common factor (GCF) of 91175 and 91182 is 7.

GCF(91175,91182) = 7

We will now calculate the prime factors of 91175 and 91182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91175 and 91182.

How to find the GCF of 91175 and 91182?

We will first find the prime factorization of 91175 and 91182. After we will calculate the factors of 91175 and 91182 and find the biggest common factor number .

Step-1: Prime Factorization of 91175

Prime factors of 91175 are 5, 7, 521. Prime factorization of 91175 in exponential form is:

91175 = 5² × 7¹ × 521¹

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 91175

List of positive integer factors of 91175 that divides 91175 without a remainder.

1, 5, 7, 25, 35, 175, 521, 2605, 3647, 13025, 18235

Step-4: Factors of 91182

List of positive integer factors of 91182 that divides 91175 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 91175 and 91182. The biggest common factor number is the GCF number.
So the greatest common factor 91175 and 91182 is 7.

Also check out the Least Common Multiple of 91175 and 91182