What is the Greatest Common Factor of 71005 and 71018?

Greatest common factor (GCF) of 71005 and 71018 is 1.

GCF(71005,71018) = 1

We will now calculate the prime factors of 71005 and 71018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71005 and 71018.

How to find the GCF of 71005 and 71018?

We will first find the prime factorization of 71005 and 71018. After we will calculate the factors of 71005 and 71018 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 71018

Prime factors of 71018 are 2, 35509. Prime factorization of 71018 in exponential form is:

71018 = 2¹ × 35509¹

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 71018

List of positive integer factors of 71018 that divides 71005 without a remainder.

1, 2, 35509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71005 and 71018. The biggest common factor number is the GCF number.
So the greatest common factor 71005 and 71018 is 1.

Also check out the Least Common Multiple of 71005 and 71018