What is the Greatest Common Factor of 70164 and 70176?

Greatest common factor (GCF) of 70164 and 70176 is 12.

GCF(70164,70176) = 12

We will now calculate the prime factors of 70164 and 70176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70164 and 70176.

How to find the GCF of 70164 and 70176?

We will first find the prime factorization of 70164 and 70176. After we will calculate the factors of 70164 and 70176 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 70176

Prime factors of 70176 are 2, 3, 17, 43. Prime factorization of 70176 in exponential form is:

70176 = 2⁵ × 3¹ × 17¹ × 43¹

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 70176

List of positive integer factors of 70176 that divides 70164 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 43, 48, 51, 68, 86, 96, 102, 129, 136, 172, 204, 258, 272, 344, 408, 516, 544, 688, 731, 816, 1032, 1376, 1462, 1632, 2064, 2193, 2924, 4128, 4386, 5848, 8772, 11696, 17544, 23392, 35088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70164 and 70176. The biggest common factor number is the GCF number.
So the greatest common factor 70164 and 70176 is 12.

Also check out the Least Common Multiple of 70164 and 70176