What is the Greatest Common Factor of 70164 and 70182?

Greatest common factor (GCF) of 70164 and 70182 is 18.

GCF(70164,70182) = 18

We will now calculate the prime factors of 70164 and 70182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70164 and 70182.

How to find the GCF of 70164 and 70182?

We will first find the prime factorization of 70164 and 70182. After we will calculate the factors of 70164 and 70182 and find the biggest common factor number .

Step-1: Prime Factorization of 70164

Prime factors of 70164 are 2, 3, 1949. Prime factorization of 70164 in exponential form is:

70164 = 2² × 3² × 1949¹

Step-2: 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-3: Factors of 70164

List of positive integer factors of 70164 that divides 70164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1949, 3898, 5847, 7796, 11694, 17541, 23388, 35082

Step-4: Factors of 70182

List of positive integer factors of 70182 that divides 70164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70164 and 70182. The biggest common factor number is the GCF number.
So the greatest common factor 70164 and 70182 is 18.

Also check out the Least Common Multiple of 70164 and 70182