What is the Greatest Common Factor of 71044 and 71062?

Greatest common factor (GCF) of 71044 and 71062 is 2.

GCF(71044,71062) = 2

We will now calculate the prime factors of 71044 and 71062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71044 and 71062.

How to find the GCF of 71044 and 71062?

We will first find the prime factorization of 71044 and 71062. After we will calculate the factors of 71044 and 71062 and find the biggest common factor number .

Step-1: Prime Factorization of 71044

Prime factors of 71044 are 2, 17761. Prime factorization of 71044 in exponential form is:

71044 = 2² × 17761¹

Step-2: Prime Factorization of 71062

Prime factors of 71062 are 2, 35531. Prime factorization of 71062 in exponential form is:

71062 = 2¹ × 35531¹

Step-3: Factors of 71044

List of positive integer factors of 71044 that divides 71044 without a remainder.

1, 2, 4, 17761, 35522

Step-4: Factors of 71062

List of positive integer factors of 71062 that divides 71044 without a remainder.

1, 2, 35531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71044 and 71062. The biggest common factor number is the GCF number.
So the greatest common factor 71044 and 71062 is 2.

Also check out the Least Common Multiple of 71044 and 71062