What is the Greatest Common Factor of 30454 and 30462?

Greatest common factor (GCF) of 30454 and 30462 is 2.

GCF(30454,30462) = 2

We will now calculate the prime factors of 30454 and 30462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30454 and 30462.

How to find the GCF of 30454 and 30462?

We will first find the prime factorization of 30454 and 30462. After we will calculate the factors of 30454 and 30462 and find the biggest common factor number .

Step-1: Prime Factorization of 30454

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

30454 = 2¹ × 15227¹

Step-2: Prime Factorization of 30462

Prime factors of 30462 are 2, 3, 5077. Prime factorization of 30462 in exponential form is:

30462 = 2¹ × 3¹ × 5077¹

Step-3: Factors of 30454

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

1, 2, 15227

Step-4: Factors of 30462

List of positive integer factors of 30462 that divides 30454 without a remainder.

1, 2, 3, 6, 5077, 10154, 15231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30454 and 30462. The biggest common factor number is the GCF number.
So the greatest common factor 30454 and 30462 is 2.

Also check out the Least Common Multiple of 30454 and 30462