What is the Greatest Common Factor of 93456 and 93464?

Greatest common factor (GCF) of 93456 and 93464 is 8.

GCF(93456,93464) = 8

We will now calculate the prime factors of 93456 and 93464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93456 and 93464.

How to find the GCF of 93456 and 93464?

We will first find the prime factorization of 93456 and 93464. After we will calculate the factors of 93456 and 93464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93464

Prime factors of 93464 are 2, 7, 1669. Prime factorization of 93464 in exponential form is:

93464 = 2³ × 7¹ × 1669¹

Step-3: Factors of 93456

List of positive integer factors of 93456 that divides 93456 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

Step-4: Factors of 93464

List of positive integer factors of 93464 that divides 93456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1669, 3338, 6676, 11683, 13352, 23366, 46732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93456 and 93464. The biggest common factor number is the GCF number.
So the greatest common factor 93456 and 93464 is 8.

Also check out the Least Common Multiple of 93456 and 93464