What is the Greatest Common Factor of 96504 and 96513?

Greatest common factor (GCF) of 96504 and 96513 is 3.

GCF(96504,96513) = 3

We will now calculate the prime factors of 96504 and 96513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96504 and 96513.

How to find the GCF of 96504 and 96513?

We will first find the prime factorization of 96504 and 96513. After we will calculate the factors of 96504 and 96513 and find the biggest common factor number .

Step-1: Prime Factorization of 96504

Prime factors of 96504 are 2, 3, 4021. Prime factorization of 96504 in exponential form is:

96504 = 2³ × 3¹ × 4021¹

Step-2: Prime Factorization of 96513

Prime factors of 96513 are 3, 53, 607. Prime factorization of 96513 in exponential form is:

96513 = 3¹ × 53¹ × 607¹

Step-3: Factors of 96504

List of positive integer factors of 96504 that divides 96504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4021, 8042, 12063, 16084, 24126, 32168, 48252

Step-4: Factors of 96513

List of positive integer factors of 96513 that divides 96504 without a remainder.

1, 3, 53, 159, 607, 1821, 32171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96504 and 96513. The biggest common factor number is the GCF number.
So the greatest common factor 96504 and 96513 is 3.

Also check out the Least Common Multiple of 96504 and 96513