What is the Greatest Common Factor of 71404 and 71417?

Greatest common factor (GCF) of 71404 and 71417 is 1.

GCF(71404,71417) = 1

We will now calculate the prime factors of 71404 and 71417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71404 and 71417.

How to find the GCF of 71404 and 71417?

We will first find the prime factorization of 71404 and 71417. After we will calculate the factors of 71404 and 71417 and find the biggest common factor number .

Step-1: Prime Factorization of 71404

Prime factors of 71404 are 2, 17851. Prime factorization of 71404 in exponential form is:

71404 = 2² × 17851¹

Step-2: Prime Factorization of 71417

Prime factors of 71417 are 17, 4201. Prime factorization of 71417 in exponential form is:

71417 = 17¹ × 4201¹

Step-3: Factors of 71404

List of positive integer factors of 71404 that divides 71404 without a remainder.

1, 2, 4, 17851, 35702

Step-4: Factors of 71417

List of positive integer factors of 71417 that divides 71404 without a remainder.

1, 17, 4201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71404 and 71417. The biggest common factor number is the GCF number.
So the greatest common factor 71404 and 71417 is 1.

Also check out the Least Common Multiple of 71404 and 71417