What is the Greatest Common Factor of 71417 and 71434?

Greatest common factor (GCF) of 71417 and 71434 is 17.

GCF(71417,71434) = 17

We will now calculate the prime factors of 71417 and 71434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71417 and 71434.

How to find the GCF of 71417 and 71434?

We will first find the prime factorization of 71417 and 71434. After we will calculate the factors of 71417 and 71434 and find the biggest common factor number .

Step-1: Prime Factorization of 71417

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

71417 = 17¹ × 4201¹

Step-2: Prime Factorization of 71434

Prime factors of 71434 are 2, 11, 17, 191. Prime factorization of 71434 in exponential form is:

71434 = 2¹ × 11¹ × 17¹ × 191¹

Step-3: Factors of 71417

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

1, 17, 4201

Step-4: Factors of 71434

List of positive integer factors of 71434 that divides 71417 without a remainder.

1, 2, 11, 17, 22, 34, 187, 191, 374, 382, 2101, 3247, 4202, 6494, 35717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71417 and 71434. The biggest common factor number is the GCF number.
So the greatest common factor 71417 and 71434 is 17.

Also check out the Least Common Multiple of 71417 and 71434