What is the Greatest Common Factor of 96524 and 96528?

Greatest common factor (GCF) of 96524 and 96528 is 4.

GCF(96524,96528) = 4

We will now calculate the prime factors of 96524 and 96528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96524 and 96528.

How to find the GCF of 96524 and 96528?

We will first find the prime factorization of 96524 and 96528. After we will calculate the factors of 96524 and 96528 and find the biggest common factor number .

Step-1: Prime Factorization of 96524

Prime factors of 96524 are 2, 59, 409. Prime factorization of 96524 in exponential form is:

96524 = 2² × 59¹ × 409¹

Step-2: Prime Factorization of 96528

Prime factors of 96528 are 2, 3, 2011. Prime factorization of 96528 in exponential form is:

96528 = 2⁴ × 3¹ × 2011¹

Step-3: Factors of 96524

List of positive integer factors of 96524 that divides 96524 without a remainder.

1, 2, 4, 59, 118, 236, 409, 818, 1636, 24131, 48262

Step-4: Factors of 96528

List of positive integer factors of 96528 that divides 96524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2011, 4022, 6033, 8044, 12066, 16088, 24132, 32176, 48264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96524 and 96528. The biggest common factor number is the GCF number.
So the greatest common factor 96524 and 96528 is 4.

Also check out the Least Common Multiple of 96524 and 96528