What is the Greatest Common Factor of 74784 and 74788?

Greatest common factor (GCF) of 74784 and 74788 is 4.

GCF(74784,74788) = 4

We will now calculate the prime factors of 74784 and 74788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74784 and 74788.

How to find the GCF of 74784 and 74788?

We will first find the prime factorization of 74784 and 74788. After we will calculate the factors of 74784 and 74788 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 74788

Prime factors of 74788 are 2, 7, 2671. Prime factorization of 74788 in exponential form is:

74788 = 2² × 7¹ × 2671¹

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 74788

List of positive integer factors of 74788 that divides 74784 without a remainder.

1, 2, 4, 7, 14, 28, 2671, 5342, 10684, 18697, 37394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74784 and 74788. The biggest common factor number is the GCF number.
So the greatest common factor 74784 and 74788 is 4.

Also check out the Least Common Multiple of 74784 and 74788