What is the Greatest Common Factor of 10505 and 10516?

Greatest common factor (GCF) of 10505 and 10516 is 11.

GCF(10505,10516) = 11

We will now calculate the prime factors of 10505 and 10516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10505 and 10516.

How to find the GCF of 10505 and 10516?

We will first find the prime factorization of 10505 and 10516. After we will calculate the factors of 10505 and 10516 and find the biggest common factor number .

Step-1: Prime Factorization of 10505

Prime factors of 10505 are 5, 11, 191. Prime factorization of 10505 in exponential form is:

10505 = 5¹ × 11¹ × 191¹

Step-2: Prime Factorization of 10516

Prime factors of 10516 are 2, 11, 239. Prime factorization of 10516 in exponential form is:

10516 = 2² × 11¹ × 239¹

Step-3: Factors of 10505

List of positive integer factors of 10505 that divides 10505 without a remainder.

1, 5, 11, 55, 191, 955, 2101

Step-4: Factors of 10516

List of positive integer factors of 10516 that divides 10505 without a remainder.

1, 2, 4, 11, 22, 44, 239, 478, 956, 2629, 5258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10505 and 10516. The biggest common factor number is the GCF number.
So the greatest common factor 10505 and 10516 is 11.

Also check out the Least Common Multiple of 10505 and 10516