What is the Greatest Common Factor of 74784 and 74796?

Greatest common factor (GCF) of 74784 and 74796 is 12.

GCF(74784,74796) = 12

We will now calculate the prime factors of 74784 and 74796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74784 and 74796.

How to find the GCF of 74784 and 74796?

We will first find the prime factorization of 74784 and 74796. After we will calculate the factors of 74784 and 74796 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 74796

Prime factors of 74796 are 2, 3, 23, 271. Prime factorization of 74796 in exponential form is:

74796 = 2² × 3¹ × 23¹ × 271¹

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 74796

List of positive integer factors of 74796 that divides 74784 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 271, 276, 542, 813, 1084, 1626, 3252, 6233, 12466, 18699, 24932, 37398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74784 and 74796. The biggest common factor number is the GCF number.
So the greatest common factor 74784 and 74796 is 12.

Also check out the Least Common Multiple of 74784 and 74796