What is the Greatest Common Factor of 71146 and 71164?

Greatest common factor (GCF) of 71146 and 71164 is 2.

GCF(71146,71164) = 2

We will now calculate the prime factors of 71146 and 71164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71146 and 71164.

How to find the GCF of 71146 and 71164?

We will first find the prime factorization of 71146 and 71164. After we will calculate the factors of 71146 and 71164 and find the biggest common factor number .

Step-1: Prime Factorization of 71146

Prime factors of 71146 are 2, 35573. Prime factorization of 71146 in exponential form is:

71146 = 2¹ × 35573¹

Step-2: Prime Factorization of 71164

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

71164 = 2² × 17791¹

Step-3: Factors of 71146

List of positive integer factors of 71146 that divides 71146 without a remainder.

1, 2, 35573

Step-4: Factors of 71164

List of positive integer factors of 71164 that divides 71146 without a remainder.

1, 2, 4, 17791, 35582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71146 and 71164. The biggest common factor number is the GCF number.
So the greatest common factor 71146 and 71164 is 2.

Also check out the Least Common Multiple of 71146 and 71164