What is the Greatest Common Factor of 74884 and 74896?

Greatest common factor (GCF) of 74884 and 74896 is 4.

GCF(74884,74896) = 4

We will now calculate the prime factors of 74884 and 74896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74884 and 74896.

How to find the GCF of 74884 and 74896?

We will first find the prime factorization of 74884 and 74896. After we will calculate the factors of 74884 and 74896 and find the biggest common factor number .

Step-1: Prime Factorization of 74884

Prime factors of 74884 are 2, 97, 193. Prime factorization of 74884 in exponential form is:

74884 = 2² × 97¹ × 193¹

Step-2: Prime Factorization of 74896

Prime factors of 74896 are 2, 31, 151. Prime factorization of 74896 in exponential form is:

74896 = 2⁴ × 31¹ × 151¹

Step-3: Factors of 74884

List of positive integer factors of 74884 that divides 74884 without a remainder.

1, 2, 4, 97, 193, 194, 386, 388, 772, 18721, 37442

Step-4: Factors of 74896

List of positive integer factors of 74896 that divides 74884 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 151, 248, 302, 496, 604, 1208, 2416, 4681, 9362, 18724, 37448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74884 and 74896. The biggest common factor number is the GCF number.
So the greatest common factor 74884 and 74896 is 4.

Also check out the Least Common Multiple of 74884 and 74896