What is the Greatest Common Factor of 93552 and 93568?

Greatest common factor (GCF) of 93552 and 93568 is 16.

GCF(93552,93568) = 16

We will now calculate the prime factors of 93552 and 93568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93552 and 93568.

How to find the GCF of 93552 and 93568?

We will first find the prime factorization of 93552 and 93568. After we will calculate the factors of 93552 and 93568 and find the biggest common factor number .

Step-1: Prime Factorization of 93552

Prime factors of 93552 are 2, 3, 1949. Prime factorization of 93552 in exponential form is:

93552 = 2⁴ × 3¹ × 1949¹

Step-2: Prime Factorization of 93568

Prime factors of 93568 are 2, 17, 43. Prime factorization of 93568 in exponential form is:

93568 = 2⁷ × 17¹ × 43¹

Step-3: Factors of 93552

List of positive integer factors of 93552 that divides 93552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1949, 3898, 5847, 7796, 11694, 15592, 23388, 31184, 46776

Step-4: Factors of 93568

List of positive integer factors of 93568 that divides 93552 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 43, 64, 68, 86, 128, 136, 172, 272, 344, 544, 688, 731, 1088, 1376, 1462, 2176, 2752, 2924, 5504, 5848, 11696, 23392, 46784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93552 and 93568. The biggest common factor number is the GCF number.
So the greatest common factor 93552 and 93568 is 16.

Also check out the Least Common Multiple of 93552 and 93568