What is the Greatest Common Factor of 96544 and 96552?

Greatest common factor (GCF) of 96544 and 96552 is 8.

GCF(96544,96552) = 8

We will now calculate the prime factors of 96544 and 96552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96544 and 96552.

How to find the GCF of 96544 and 96552?

We will first find the prime factorization of 96544 and 96552. After we will calculate the factors of 96544 and 96552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96552

Prime factors of 96552 are 2, 3, 149. Prime factorization of 96552 in exponential form is:

96552 = 2³ × 3⁴ × 149¹

Step-3: Factors of 96544

List of positive integer factors of 96544 that divides 96544 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

Step-4: Factors of 96552

List of positive integer factors of 96552 that divides 96544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 149, 162, 216, 298, 324, 447, 596, 648, 894, 1192, 1341, 1788, 2682, 3576, 4023, 5364, 8046, 10728, 12069, 16092, 24138, 32184, 48276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96544 and 96552. The biggest common factor number is the GCF number.
So the greatest common factor 96544 and 96552 is 8.

Also check out the Least Common Multiple of 96544 and 96552