What is the Greatest Common Factor of 74444 and 74462?

Greatest common factor (GCF) of 74444 and 74462 is 2.

GCF(74444,74462) = 2

We will now calculate the prime factors of 74444 and 74462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74444 and 74462.

How to find the GCF of 74444 and 74462?

We will first find the prime factorization of 74444 and 74462. After we will calculate the factors of 74444 and 74462 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 74462

Prime factors of 74462 are 2, 31, 1201. Prime factorization of 74462 in exponential form is:

74462 = 2¹ × 31¹ × 1201¹

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 74462

List of positive integer factors of 74462 that divides 74444 without a remainder.

1, 2, 31, 62, 1201, 2402, 37231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74444 and 74462. The biggest common factor number is the GCF number.
So the greatest common factor 74444 and 74462 is 2.

Also check out the Least Common Multiple of 74444 and 74462