What is the Greatest Common Factor of 70182 and 70189?

Greatest common factor (GCF) of 70182 and 70189 is 7.

GCF(70182,70189) = 7

We will now calculate the prime factors of 70182 and 70189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70182 and 70189.

How to find the GCF of 70182 and 70189?

We will first find the prime factorization of 70182 and 70189. After we will calculate the factors of 70182 and 70189 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 70189

Prime factors of 70189 are 7, 37, 271. Prime factorization of 70189 in exponential form is:

70189 = 7¹ × 37¹ × 271¹

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 70189

List of positive integer factors of 70189 that divides 70182 without a remainder.

1, 7, 37, 259, 271, 1897, 10027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70182 and 70189. The biggest common factor number is the GCF number.
So the greatest common factor 70182 and 70189 is 7.

Also check out the Least Common Multiple of 70182 and 70189