What is the Greatest Common Factor of 74804 and 74824?

Greatest common factor (GCF) of 74804 and 74824 is 4.

GCF(74804,74824) = 4

We will now calculate the prime factors of 74804 and 74824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74804 and 74824.

How to find the GCF of 74804 and 74824?

We will first find the prime factorization of 74804 and 74824. After we will calculate the factors of 74804 and 74824 and find the biggest common factor number .

Step-1: Prime Factorization of 74804

Prime factors of 74804 are 2, 18701. Prime factorization of 74804 in exponential form is:

74804 = 2² × 18701¹

Step-2: Prime Factorization of 74824

Prime factors of 74824 are 2, 47, 199. Prime factorization of 74824 in exponential form is:

74824 = 2³ × 47¹ × 199¹

Step-3: Factors of 74804

List of positive integer factors of 74804 that divides 74804 without a remainder.

1, 2, 4, 18701, 37402

Step-4: Factors of 74824

List of positive integer factors of 74824 that divides 74804 without a remainder.

1, 2, 4, 8, 47, 94, 188, 199, 376, 398, 796, 1592, 9353, 18706, 37412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74804 and 74824. The biggest common factor number is the GCF number.
So the greatest common factor 74804 and 74824 is 4.

Also check out the Least Common Multiple of 74804 and 74824