What is the Greatest Common Factor of 10516 and 10527?

Greatest common factor (GCF) of 10516 and 10527 is 11.

GCF(10516,10527) = 11

We will now calculate the prime factors of 10516 and 10527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10516 and 10527.

How to find the GCF of 10516 and 10527?

We will first find the prime factorization of 10516 and 10527. After we will calculate the factors of 10516 and 10527 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10527

Prime factors of 10527 are 3, 11, 29. Prime factorization of 10527 in exponential form is:

10527 = 3¹ × 11² × 29¹

Step-3: Factors of 10516

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

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

Step-4: Factors of 10527

List of positive integer factors of 10527 that divides 10516 without a remainder.

1, 3, 11, 29, 33, 87, 121, 319, 363, 957, 3509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10516 and 10527. The biggest common factor number is the GCF number.
So the greatest common factor 10516 and 10527 is 11.

Also check out the Least Common Multiple of 10516 and 10527