What is the Greatest Common Factor of 71509 and 71513?

Greatest common factor (GCF) of 71509 and 71513 is 1.

GCF(71509,71513) = 1

We will now calculate the prime factors of 71509 and 71513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71509 and 71513.

How to find the GCF of 71509 and 71513?

We will first find the prime factorization of 71509 and 71513. After we will calculate the factors of 71509 and 71513 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 71513

Prime factors of 71513 are 13, 5501. Prime factorization of 71513 in exponential form is:

71513 = 13¹ × 5501¹

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 71513

List of positive integer factors of 71513 that divides 71509 without a remainder.

1, 13, 5501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71509 and 71513. The biggest common factor number is the GCF number.
So the greatest common factor 71509 and 71513 is 1.

Also check out the Least Common Multiple of 71509 and 71513