What is the Greatest Common Factor of 74784 and 74790?

Greatest common factor (GCF) of 74784 and 74790 is 6.

GCF(74784,74790) = 6

We will now calculate the prime factors of 74784 and 74790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74784 and 74790.

How to find the GCF of 74784 and 74790?

We will first find the prime factorization of 74784 and 74790. After we will calculate the factors of 74784 and 74790 and find the biggest common factor number .

Step-1: Prime Factorization of 74784

Prime factors of 74784 are 2, 3, 19, 41. Prime factorization of 74784 in exponential form is:

74784 = 2⁵ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 74790

Prime factors of 74790 are 2, 3, 5, 277. Prime factorization of 74790 in exponential form is:

74790 = 2¹ × 3³ × 5¹ × 277¹

Step-3: Factors of 74784

List of positive integer factors of 74784 that divides 74784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 41, 48, 57, 76, 82, 96, 114, 123, 152, 164, 228, 246, 304, 328, 456, 492, 608, 656, 779, 912, 984, 1312, 1558, 1824, 1968, 2337, 3116, 3936, 4674, 6232, 9348, 12464, 18696, 24928, 37392

Step-4: Factors of 74790

List of positive integer factors of 74790 that divides 74784 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 277, 554, 831, 1385, 1662, 2493, 2770, 4155, 4986, 7479, 8310, 12465, 14958, 24930, 37395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74784 and 74790. The biggest common factor number is the GCF number.
So the greatest common factor 74784 and 74790 is 6.

Also check out the Least Common Multiple of 74784 and 74790