What is the Greatest Common Factor of 66508 and 66513?

Greatest common factor (GCF) of 66508 and 66513 is 1.

GCF(66508,66513) = 1

We will now calculate the prime factors of 66508 and 66513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66508 and 66513.

How to find the GCF of 66508 and 66513?

We will first find the prime factorization of 66508 and 66513. After we will calculate the factors of 66508 and 66513 and find the biggest common factor number .

Step-1: Prime Factorization of 66508

Prime factors of 66508 are 2, 13, 1279. Prime factorization of 66508 in exponential form is:

66508 = 2² × 13¹ × 1279¹

Step-2: Prime Factorization of 66513

Prime factors of 66513 are 3, 22171. Prime factorization of 66513 in exponential form is:

66513 = 3¹ × 22171¹

Step-3: Factors of 66508

List of positive integer factors of 66508 that divides 66508 without a remainder.

1, 2, 4, 13, 26, 52, 1279, 2558, 5116, 16627, 33254

Step-4: Factors of 66513

List of positive integer factors of 66513 that divides 66508 without a remainder.

1, 3, 22171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66508 and 66513. The biggest common factor number is the GCF number.
So the greatest common factor 66508 and 66513 is 1.

Also check out the Least Common Multiple of 66508 and 66513