What is the Greatest Common Factor of 93440 and 93456?

Greatest common factor (GCF) of 93440 and 93456 is 16.

GCF(93440,93456) = 16

We will now calculate the prime factors of 93440 and 93456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93440 and 93456.

How to find the GCF of 93440 and 93456?

We will first find the prime factorization of 93440 and 93456. After we will calculate the factors of 93440 and 93456 and find the biggest common factor number .

Step-1: Prime Factorization of 93440

Prime factors of 93440 are 2, 5, 73. Prime factorization of 93440 in exponential form is:

93440 = 2⁸ × 5¹ × 73¹

Step-2: Prime Factorization of 93456

Prime factors of 93456 are 2, 3, 11, 59. Prime factorization of 93456 in exponential form is:

93456 = 2⁴ × 3² × 11¹ × 59¹

Step-3: Factors of 93440

List of positive integer factors of 93440 that divides 93440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 128, 146, 160, 256, 292, 320, 365, 584, 640, 730, 1168, 1280, 1460, 2336, 2920, 4672, 5840, 9344, 11680, 18688, 23360, 46720

Step-4: Factors of 93456

List of positive integer factors of 93456 that divides 93440 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 59, 66, 72, 88, 99, 118, 132, 144, 176, 177, 198, 236, 264, 354, 396, 472, 528, 531, 649, 708, 792, 944, 1062, 1298, 1416, 1584, 1947, 2124, 2596, 2832, 3894, 4248, 5192, 5841, 7788, 8496, 10384, 11682, 15576, 23364, 31152, 46728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93440 and 93456. The biggest common factor number is the GCF number.
So the greatest common factor 93440 and 93456 is 16.

Also check out the Least Common Multiple of 93440 and 93456