What is the Greatest Common Factor of 30336 and 30350?

Greatest common factor (GCF) of 30336 and 30350 is 2.

GCF(30336,30350) = 2

We will now calculate the prime factors of 30336 and 30350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30336 and 30350.

How to find the GCF of 30336 and 30350?

We will first find the prime factorization of 30336 and 30350. After we will calculate the factors of 30336 and 30350 and find the biggest common factor number .

Step-1: Prime Factorization of 30336

Prime factors of 30336 are 2, 3, 79. Prime factorization of 30336 in exponential form is:

30336 = 2⁷ × 3¹ × 79¹

Step-2: Prime Factorization of 30350

Prime factors of 30350 are 2, 5, 607. Prime factorization of 30350 in exponential form is:

30350 = 2¹ × 5² × 607¹

Step-3: Factors of 30336

List of positive integer factors of 30336 that divides 30336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 79, 96, 128, 158, 192, 237, 316, 384, 474, 632, 948, 1264, 1896, 2528, 3792, 5056, 7584, 10112, 15168

Step-4: Factors of 30350

List of positive integer factors of 30350 that divides 30336 without a remainder.

1, 2, 5, 10, 25, 50, 607, 1214, 3035, 6070, 15175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30336 and 30350. The biggest common factor number is the GCF number.
So the greatest common factor 30336 and 30350 is 2.

Also check out the Least Common Multiple of 30336 and 30350