What is the Greatest Common Factor of 71644 and 71658?

Greatest common factor (GCF) of 71644 and 71658 is 2.

GCF(71644,71658) = 2

We will now calculate the prime factors of 71644 and 71658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71644 and 71658.

How to find the GCF of 71644 and 71658?

We will first find the prime factorization of 71644 and 71658. After we will calculate the factors of 71644 and 71658 and find the biggest common factor number .

Step-1: Prime Factorization of 71644

Prime factors of 71644 are 2, 17911. Prime factorization of 71644 in exponential form is:

71644 = 2² × 17911¹

Step-2: Prime Factorization of 71658

Prime factors of 71658 are 2, 3, 1327. Prime factorization of 71658 in exponential form is:

71658 = 2¹ × 3³ × 1327¹

Step-3: Factors of 71644

List of positive integer factors of 71644 that divides 71644 without a remainder.

1, 2, 4, 17911, 35822

Step-4: Factors of 71658

List of positive integer factors of 71658 that divides 71644 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1327, 2654, 3981, 7962, 11943, 23886, 35829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71644 and 71658. The biggest common factor number is the GCF number.
So the greatest common factor 71644 and 71658 is 2.

Also check out the Least Common Multiple of 71644 and 71658