What is the Greatest Common Factor of 96528 and 96544?

Greatest common factor (GCF) of 96528 and 96544 is 16.

GCF(96528,96544) = 16

We will now calculate the prime factors of 96528 and 96544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96528 and 96544.

How to find the GCF of 96528 and 96544?

We will first find the prime factorization of 96528 and 96544. After we will calculate the factors of 96528 and 96544 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 96544

Prime factors of 96544 are 2, 7, 431. Prime factorization of 96544 in exponential form is:

96544 = 2⁵ × 7¹ × 431¹

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 96544

List of positive integer factors of 96544 that divides 96528 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 13792, 24136, 48272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96528 and 96544. The biggest common factor number is the GCF number.
So the greatest common factor 96528 and 96544 is 16.

Also check out the Least Common Multiple of 96528 and 96544