What is the Greatest Common Factor of 30444 and 30454?

Greatest common factor (GCF) of 30444 and 30454 is 2.

GCF(30444,30454) = 2

We will now calculate the prime factors of 30444 and 30454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30444 and 30454.

How to find the GCF of 30444 and 30454?

We will first find the prime factorization of 30444 and 30454. After we will calculate the factors of 30444 and 30454 and find the biggest common factor number .

Step-1: Prime Factorization of 30444

Prime factors of 30444 are 2, 3, 43, 59. Prime factorization of 30444 in exponential form is:

30444 = 2² × 3¹ × 43¹ × 59¹

Step-2: Prime Factorization of 30454

Prime factors of 30454 are 2, 15227. Prime factorization of 30454 in exponential form is:

30454 = 2¹ × 15227¹

Step-3: Factors of 30444

List of positive integer factors of 30444 that divides 30444 without a remainder.

1, 2, 3, 4, 6, 12, 43, 59, 86, 118, 129, 172, 177, 236, 258, 354, 516, 708, 2537, 5074, 7611, 10148, 15222

Step-4: Factors of 30454

List of positive integer factors of 30454 that divides 30444 without a remainder.

1, 2, 15227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30444 and 30454. The biggest common factor number is the GCF number.
So the greatest common factor 30444 and 30454 is 2.

Also check out the Least Common Multiple of 30444 and 30454