What is the Greatest Common Factor of 9516 and 9529?

Greatest common factor (GCF) of 9516 and 9529 is 13.

GCF(9516,9529) = 13

We will now calculate the prime factors of 9516 and 9529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9516 and 9529.

How to find the GCF of 9516 and 9529?

We will first find the prime factorization of 9516 and 9529. After we will calculate the factors of 9516 and 9529 and find the biggest common factor number .

Step-1: Prime Factorization of 9516

Prime factors of 9516 are 2, 3, 13, 61. Prime factorization of 9516 in exponential form is:

9516 = 2² × 3¹ × 13¹ × 61¹

Step-2: Prime Factorization of 9529

Prime factors of 9529 are 13, 733. Prime factorization of 9529 in exponential form is:

9529 = 13¹ × 733¹

Step-3: Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758

Step-4: Factors of 9529

List of positive integer factors of 9529 that divides 9516 without a remainder.

1, 13, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9516 and 9529. The biggest common factor number is the GCF number.
So the greatest common factor 9516 and 9529 is 13.

Also check out the Least Common Multiple of 9516 and 9529