What is the Greatest Common Factor of 71005 and 71011?

Greatest common factor (GCF) of 71005 and 71011 is 1.

GCF(71005,71011) = 1

We will now calculate the prime factors of 71005 and 71011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71005 and 71011.

How to find the GCF of 71005 and 71011?

We will first find the prime factorization of 71005 and 71011. After we will calculate the factors of 71005 and 71011 and find the biggest common factor number .

Step-1: Prime Factorization of 71005

Prime factors of 71005 are 5, 11, 1291. Prime factorization of 71005 in exponential form is:

71005 = 5¹ × 11¹ × 1291¹

Step-2: Prime Factorization of 71011

Prime factors of 71011 are 71011. Prime factorization of 71011 in exponential form is:

71011 = 71011¹

Step-3: Factors of 71005

List of positive integer factors of 71005 that divides 71005 without a remainder.

1, 5, 11, 55, 1291, 6455, 14201

Step-4: Factors of 71011

List of positive integer factors of 71011 that divides 71005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71005 and 71011. The biggest common factor number is the GCF number.
So the greatest common factor 71005 and 71011 is 1.

Also check out the Least Common Multiple of 71005 and 71011