What is the Greatest Common Factor of 10506 and 10517?

Greatest common factor (GCF) of 10506 and 10517 is 1.

GCF(10506,10517) = 1

We will now calculate the prime factors of 10506 and 10517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10506 and 10517.

How to find the GCF of 10506 and 10517?

We will first find the prime factorization of 10506 and 10517. After we will calculate the factors of 10506 and 10517 and find the biggest common factor number .

Step-1: Prime Factorization of 10506

Prime factors of 10506 are 2, 3, 17, 103. Prime factorization of 10506 in exponential form is:

10506 = 2¹ × 3¹ × 17¹ × 103¹

Step-2: Prime Factorization of 10517

Prime factors of 10517 are 13, 809. Prime factorization of 10517 in exponential form is:

10517 = 13¹ × 809¹

Step-3: Factors of 10506

List of positive integer factors of 10506 that divides 10506 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 103, 206, 309, 618, 1751, 3502, 5253

Step-4: Factors of 10517

List of positive integer factors of 10517 that divides 10506 without a remainder.

1, 13, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10506 and 10517. The biggest common factor number is the GCF number.
So the greatest common factor 10506 and 10517 is 1.

Also check out the Least Common Multiple of 10506 and 10517