What is the Greatest Common Factor of 70182 and 70191?

Greatest common factor (GCF) of 70182 and 70191 is 9.

GCF(70182,70191) = 9

We will now calculate the prime factors of 70182 and 70191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70182 and 70191.

How to find the GCF of 70182 and 70191?

We will first find the prime factorization of 70182 and 70191. After we will calculate the factors of 70182 and 70191 and find the biggest common factor number .

Step-1: Prime Factorization of 70182

Prime factors of 70182 are 2, 3, 7, 557. Prime factorization of 70182 in exponential form is:

70182 = 2¹ × 3² × 7¹ × 557¹

Step-2: Prime Factorization of 70191

Prime factors of 70191 are 3, 11, 709. Prime factorization of 70191 in exponential form is:

70191 = 3² × 11¹ × 709¹

Step-3: Factors of 70182

List of positive integer factors of 70182 that divides 70182 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 557, 1114, 1671, 3342, 3899, 5013, 7798, 10026, 11697, 23394, 35091

Step-4: Factors of 70191

List of positive integer factors of 70191 that divides 70182 without a remainder.

1, 3, 9, 11, 33, 99, 709, 2127, 6381, 7799, 23397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70182 and 70191. The biggest common factor number is the GCF number.
So the greatest common factor 70182 and 70191 is 9.

Also check out the Least Common Multiple of 70182 and 70191