What is the Greatest Common Factor of 71164 and 71184?

Greatest common factor (GCF) of 71164 and 71184 is 4.

GCF(71164,71184) = 4

We will now calculate the prime factors of 71164 and 71184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71164 and 71184.

How to find the GCF of 71164 and 71184?

We will first find the prime factorization of 71164 and 71184. After we will calculate the factors of 71164 and 71184 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 71184

Prime factors of 71184 are 2, 3, 1483. Prime factorization of 71184 in exponential form is:

71184 = 2⁴ × 3¹ × 1483¹

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 71184

List of positive integer factors of 71184 that divides 71164 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1483, 2966, 4449, 5932, 8898, 11864, 17796, 23728, 35592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71164 and 71184. The biggest common factor number is the GCF number.
So the greatest common factor 71164 and 71184 is 4.

Also check out the Least Common Multiple of 71164 and 71184