What is the Greatest Common Factor of 35516 and 35529?

Greatest common factor (GCF) of 35516 and 35529 is 13.

GCF(35516,35529) = 13

We will now calculate the prime factors of 35516 and 35529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35516 and 35529.

How to find the GCF of 35516 and 35529?

We will first find the prime factorization of 35516 and 35529. After we will calculate the factors of 35516 and 35529 and find the biggest common factor number .

Step-1: Prime Factorization of 35516

Prime factors of 35516 are 2, 13, 683. Prime factorization of 35516 in exponential form is:

35516 = 2² × 13¹ × 683¹

Step-2: Prime Factorization of 35529

Prime factors of 35529 are 3, 13, 911. Prime factorization of 35529 in exponential form is:

35529 = 3¹ × 13¹ × 911¹

Step-3: Factors of 35516

List of positive integer factors of 35516 that divides 35516 without a remainder.

1, 2, 4, 13, 26, 52, 683, 1366, 2732, 8879, 17758

Step-4: Factors of 35529

List of positive integer factors of 35529 that divides 35516 without a remainder.

1, 3, 13, 39, 911, 2733, 11843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35516 and 35529. The biggest common factor number is the GCF number.
So the greatest common factor 35516 and 35529 is 13.

Also check out the Least Common Multiple of 35516 and 35529