What is the Greatest Common Factor of 93450 and 93456?

Greatest common factor (GCF) of 93450 and 93456 is 6.

GCF(93450,93456) = 6

We will now calculate the prime factors of 93450 and 93456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93450 and 93456.

How to find the GCF of 93450 and 93456?

We will first find the prime factorization of 93450 and 93456. After we will calculate the factors of 93450 and 93456 and find the biggest common factor number .

Step-1: Prime Factorization of 93450

Prime factors of 93450 are 2, 3, 5, 7, 89. Prime factorization of 93450 in exponential form is:

93450 = 2¹ × 3¹ × 5² × 7¹ × 89¹

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 93450

List of positive integer factors of 93450 that divides 93450 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 89, 105, 150, 175, 178, 210, 267, 350, 445, 525, 534, 623, 890, 1050, 1246, 1335, 1869, 2225, 2670, 3115, 3738, 4450, 6230, 6675, 9345, 13350, 15575, 18690, 31150, 46725

Step-4: Factors of 93456

List of positive integer factors of 93456 that divides 93450 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 93450 and 93456. The biggest common factor number is the GCF number.
So the greatest common factor 93450 and 93456 is 6.

Also check out the Least Common Multiple of 93450 and 93456