What is the Greatest Common Factor of 30409 and 30416?

Greatest common factor (GCF) of 30409 and 30416 is 1.

GCF(30409,30416) = 1

We will now calculate the prime factors of 30409 and 30416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30409 and 30416.

How to find the GCF of 30409 and 30416?

We will first find the prime factorization of 30409 and 30416. After we will calculate the factors of 30409 and 30416 and find the biggest common factor number .

Step-1: Prime Factorization of 30409

Prime factors of 30409 are 47, 647. Prime factorization of 30409 in exponential form is:

30409 = 47¹ × 647¹

Step-2: Prime Factorization of 30416

Prime factors of 30416 are 2, 1901. Prime factorization of 30416 in exponential form is:

30416 = 2⁴ × 1901¹

Step-3: Factors of 30409

List of positive integer factors of 30409 that divides 30409 without a remainder.

1, 47, 647

Step-4: Factors of 30416

List of positive integer factors of 30416 that divides 30409 without a remainder.

1, 2, 4, 8, 16, 1901, 3802, 7604, 15208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30409 and 30416. The biggest common factor number is the GCF number.
So the greatest common factor 30409 and 30416 is 1.

Also check out the Least Common Multiple of 30409 and 30416