What is the Greatest Common Factor of 71164 and 71176?

Greatest common factor (GCF) of 71164 and 71176 is 4.

GCF(71164,71176) = 4

We will now calculate the prime factors of 71164 and 71176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71164 and 71176.

How to find the GCF of 71164 and 71176?

We will first find the prime factorization of 71164 and 71176. After we will calculate the factors of 71164 and 71176 and find the biggest common factor number .

Step-1: Prime Factorization of 71164

Prime factors of 71164 are 2, 17791. Prime factorization of 71164 in exponential form is:

71164 = 2² × 17791¹

Step-2: Prime Factorization of 71176

Prime factors of 71176 are 2, 7, 31, 41. Prime factorization of 71176 in exponential form is:

71176 = 2³ × 7¹ × 31¹ × 41¹

Step-3: Factors of 71164

List of positive integer factors of 71164 that divides 71164 without a remainder.

1, 2, 4, 17791, 35582

Step-4: Factors of 71176

List of positive integer factors of 71176 that divides 71164 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 41, 56, 62, 82, 124, 164, 217, 248, 287, 328, 434, 574, 868, 1148, 1271, 1736, 2296, 2542, 5084, 8897, 10168, 17794, 35588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71164 and 71176. The biggest common factor number is the GCF number.
So the greatest common factor 71164 and 71176 is 4.

Also check out the Least Common Multiple of 71164 and 71176