What is the Greatest Common Factor of 74768 and 74784?

Greatest common factor (GCF) of 74768 and 74784 is 16.

GCF(74768,74784) = 16

We will now calculate the prime factors of 74768 and 74784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74768 and 74784.

How to find the GCF of 74768 and 74784?

We will first find the prime factorization of 74768 and 74784. After we will calculate the factors of 74768 and 74784 and find the biggest common factor number .

Step-1: Prime Factorization of 74768

Prime factors of 74768 are 2, 4673. Prime factorization of 74768 in exponential form is:

74768 = 2⁴ × 4673¹

Step-2: 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-3: Factors of 74768

List of positive integer factors of 74768 that divides 74768 without a remainder.

1, 2, 4, 8, 16, 4673, 9346, 18692, 37384

Step-4: Factors of 74784

List of positive integer factors of 74784 that divides 74768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74768 and 74784. The biggest common factor number is the GCF number.
So the greatest common factor 74768 and 74784 is 16.

Also check out the Least Common Multiple of 74768 and 74784