What is the Greatest Common Factor of 66506 and 66517?

Greatest common factor (GCF) of 66506 and 66517 is 11.

GCF(66506,66517) = 11

We will now calculate the prime factors of 66506 and 66517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66506 and 66517.

How to find the GCF of 66506 and 66517?

We will first find the prime factorization of 66506 and 66517. After we will calculate the factors of 66506 and 66517 and find the biggest common factor number .

Step-1: Prime Factorization of 66506

Prime factors of 66506 are 2, 11, 3023. Prime factorization of 66506 in exponential form is:

66506 = 2¹ × 11¹ × 3023¹

Step-2: Prime Factorization of 66517

Prime factors of 66517 are 11, 6047. Prime factorization of 66517 in exponential form is:

66517 = 11¹ × 6047¹

Step-3: Factors of 66506

List of positive integer factors of 66506 that divides 66506 without a remainder.

1, 2, 11, 22, 3023, 6046, 33253

Step-4: Factors of 66517

List of positive integer factors of 66517 that divides 66506 without a remainder.

1, 11, 6047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66506 and 66517. The biggest common factor number is the GCF number.
So the greatest common factor 66506 and 66517 is 11.

Also check out the Least Common Multiple of 66506 and 66517