What is the Greatest Common Factor of 96528 and 96534?

Greatest common factor (GCF) of 96528 and 96534 is 6.

GCF(96528,96534) = 6

We will now calculate the prime factors of 96528 and 96534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96528 and 96534.

How to find the GCF of 96528 and 96534?

We will first find the prime factorization of 96528 and 96534. After we will calculate the factors of 96528 and 96534 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96534

Prime factors of 96534 are 2, 3, 31, 173. Prime factorization of 96534 in exponential form is:

96534 = 2¹ × 3² × 31¹ × 173¹

Step-3: Factors of 96528

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

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

Step-4: Factors of 96534

List of positive integer factors of 96534 that divides 96528 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 173, 186, 279, 346, 519, 558, 1038, 1557, 3114, 5363, 10726, 16089, 32178, 48267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96528 and 96534. The biggest common factor number is the GCF number.
So the greatest common factor 96528 and 96534 is 6.

Also check out the Least Common Multiple of 96528 and 96534