What is the Greatest Common Factor of 30799 and 30816?

Greatest common factor (GCF) of 30799 and 30816 is 1.

GCF(30799,30816) = 1

We will now calculate the prime factors of 30799 and 30816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30799 and 30816.

How to find the GCF of 30799 and 30816?

We will first find the prime factorization of 30799 and 30816. After we will calculate the factors of 30799 and 30816 and find the biggest common factor number .

Step-1: Prime Factorization of 30799

Prime factors of 30799 are 19, 1621. Prime factorization of 30799 in exponential form is:

30799 = 19¹ × 1621¹

Step-2: Prime Factorization of 30816

Prime factors of 30816 are 2, 3, 107. Prime factorization of 30816 in exponential form is:

30816 = 2⁵ × 3² × 107¹

Step-3: Factors of 30799

List of positive integer factors of 30799 that divides 30799 without a remainder.

1, 19, 1621

Step-4: Factors of 30816

List of positive integer factors of 30816 that divides 30799 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 107, 144, 214, 288, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3424, 3852, 5136, 7704, 10272, 15408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30799 and 30816. The biggest common factor number is the GCF number.
So the greatest common factor 30799 and 30816 is 1.

Also check out the Least Common Multiple of 30799 and 30816