What is the Greatest Common Factor of 71605 and 71617?

Greatest common factor (GCF) of 71605 and 71617 is 1.

GCF(71605,71617) = 1

We will now calculate the prime factors of 71605 and 71617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71605 and 71617.

How to find the GCF of 71605 and 71617?

We will first find the prime factorization of 71605 and 71617. After we will calculate the factors of 71605 and 71617 and find the biggest common factor number .

Step-1: Prime Factorization of 71605

Prime factors of 71605 are 5, 14321. Prime factorization of 71605 in exponential form is:

71605 = 5¹ × 14321¹

Step-2: Prime Factorization of 71617

Prime factors of 71617 are 7, 13, 787. Prime factorization of 71617 in exponential form is:

71617 = 7¹ × 13¹ × 787¹

Step-3: Factors of 71605

List of positive integer factors of 71605 that divides 71605 without a remainder.

1, 5, 14321

Step-4: Factors of 71617

List of positive integer factors of 71617 that divides 71605 without a remainder.

1, 7, 13, 91, 787, 5509, 10231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71605 and 71617. The biggest common factor number is the GCF number.
So the greatest common factor 71605 and 71617 is 1.

Also check out the Least Common Multiple of 71605 and 71617