What is the Greatest Common Factor of 71006 and 71012?

Greatest common factor (GCF) of 71006 and 71012 is 2.

GCF(71006,71012) = 2

We will now calculate the prime factors of 71006 and 71012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71006 and 71012.

How to find the GCF of 71006 and 71012?

We will first find the prime factorization of 71006 and 71012. After we will calculate the factors of 71006 and 71012 and find the biggest common factor number .

Step-1: Prime Factorization of 71006

Prime factors of 71006 are 2, 13, 2731. Prime factorization of 71006 in exponential form is:

71006 = 2¹ × 13¹ × 2731¹

Step-2: Prime Factorization of 71012

Prime factors of 71012 are 2, 41, 433. Prime factorization of 71012 in exponential form is:

71012 = 2² × 41¹ × 433¹

Step-3: Factors of 71006

List of positive integer factors of 71006 that divides 71006 without a remainder.

1, 2, 13, 26, 2731, 5462, 35503

Step-4: Factors of 71012

List of positive integer factors of 71012 that divides 71006 without a remainder.

1, 2, 4, 41, 82, 164, 433, 866, 1732, 17753, 35506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71006 and 71012. The biggest common factor number is the GCF number.
So the greatest common factor 71006 and 71012 is 2.

Also check out the Least Common Multiple of 71006 and 71012