What is the Greatest Common Factor of 71164 and 71182?

Greatest common factor (GCF) of 71164 and 71182 is 2.

GCF(71164,71182) = 2

We will now calculate the prime factors of 71164 and 71182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71164 and 71182.

How to find the GCF of 71164 and 71182?

We will first find the prime factorization of 71164 and 71182. After we will calculate the factors of 71164 and 71182 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 71182

Prime factors of 71182 are 2, 35591. Prime factorization of 71182 in exponential form is:

71182 = 2¹ × 35591¹

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 71182

List of positive integer factors of 71182 that divides 71164 without a remainder.

1, 2, 35591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71164 and 71182. The biggest common factor number is the GCF number.
So the greatest common factor 71164 and 71182 is 2.

Also check out the Least Common Multiple of 71164 and 71182