What is the Greatest Common Factor of 74444 and 74449?

Greatest common factor (GCF) of 74444 and 74449 is 1.

GCF(74444,74449) = 1

We will now calculate the prime factors of 74444 and 74449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74444 and 74449.

How to find the GCF of 74444 and 74449?

We will first find the prime factorization of 74444 and 74449. After we will calculate the factors of 74444 and 74449 and find the biggest common factor number .

Step-1: Prime Factorization of 74444

Prime factors of 74444 are 2, 37, 503. Prime factorization of 74444 in exponential form is:

74444 = 2² × 37¹ × 503¹

Step-2: Prime Factorization of 74449

Prime factors of 74449 are 74449. Prime factorization of 74449 in exponential form is:

74449 = 74449¹

Step-3: Factors of 74444

List of positive integer factors of 74444 that divides 74444 without a remainder.

1, 2, 4, 37, 74, 148, 503, 1006, 2012, 18611, 37222

Step-4: Factors of 74449

List of positive integer factors of 74449 that divides 74444 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74444 and 74449. The biggest common factor number is the GCF number.
So the greatest common factor 74444 and 74449 is 1.

Also check out the Least Common Multiple of 74444 and 74449