What is the Greatest Common Factor of 62509 and 62513?

Greatest common factor (GCF) of 62509 and 62513 is 1.

GCF(62509,62513) = 1

We will now calculate the prime factors of 62509 and 62513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62509 and 62513.

How to find the GCF of 62509 and 62513?

We will first find the prime factorization of 62509 and 62513. After we will calculate the factors of 62509 and 62513 and find the biggest common factor number .

Step-1: Prime Factorization of 62509

Prime factors of 62509 are 17, 3677. Prime factorization of 62509 in exponential form is:

62509 = 17¹ × 3677¹

Step-2: Prime Factorization of 62513

Prime factors of 62513 are 11, 5683. Prime factorization of 62513 in exponential form is:

62513 = 11¹ × 5683¹

Step-3: Factors of 62509

List of positive integer factors of 62509 that divides 62509 without a remainder.

1, 17, 3677

Step-4: Factors of 62513

List of positive integer factors of 62513 that divides 62509 without a remainder.

1, 11, 5683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62509 and 62513. The biggest common factor number is the GCF number.
So the greatest common factor 62509 and 62513 is 1.

Also check out the Least Common Multiple of 62509 and 62513