What is the Greatest Common Factor of 71509 and 71517?

Greatest common factor (GCF) of 71509 and 71517 is 1.

GCF(71509,71517) = 1

We will now calculate the prime factors of 71509 and 71517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71509 and 71517.

How to find the GCF of 71509 and 71517?

We will first find the prime factorization of 71509 and 71517. After we will calculate the factors of 71509 and 71517 and find the biggest common factor number .

Step-1: Prime Factorization of 71509

Prime factors of 71509 are 43, 1663. Prime factorization of 71509 in exponential form is:

71509 = 43¹ × 1663¹

Step-2: Prime Factorization of 71517

Prime factors of 71517 are 3, 31, 769. Prime factorization of 71517 in exponential form is:

71517 = 3¹ × 31¹ × 769¹

Step-3: Factors of 71509

List of positive integer factors of 71509 that divides 71509 without a remainder.

1, 43, 1663

Step-4: Factors of 71517

List of positive integer factors of 71517 that divides 71509 without a remainder.

1, 3, 31, 93, 769, 2307, 23839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71509 and 71517. The biggest common factor number is the GCF number.
So the greatest common factor 71509 and 71517 is 1.

Also check out the Least Common Multiple of 71509 and 71517