What is the Greatest Common Factor of 70164 and 70172?

Greatest common factor (GCF) of 70164 and 70172 is 4.

GCF(70164,70172) = 4

We will now calculate the prime factors of 70164 and 70172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70164 and 70172.

How to find the GCF of 70164 and 70172?

We will first find the prime factorization of 70164 and 70172. After we will calculate the factors of 70164 and 70172 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 70172

Prime factors of 70172 are 2, 53, 331. Prime factorization of 70172 in exponential form is:

70172 = 2² × 53¹ × 331¹

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 70172

List of positive integer factors of 70172 that divides 70164 without a remainder.

1, 2, 4, 53, 106, 212, 331, 662, 1324, 17543, 35086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70164 and 70172. The biggest common factor number is the GCF number.
So the greatest common factor 70164 and 70172 is 4.

Also check out the Least Common Multiple of 70164 and 70172