What is the Greatest Common Factor of 22336 and 22350?

Greatest common factor (GCF) of 22336 and 22350 is 2.

GCF(22336,22350) = 2

We will now calculate the prime factors of 22336 and 22350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22336 and 22350.

How to find the GCF of 22336 and 22350?

We will first find the prime factorization of 22336 and 22350. After we will calculate the factors of 22336 and 22350 and find the biggest common factor number .

Step-1: Prime Factorization of 22336

Prime factors of 22336 are 2, 349. Prime factorization of 22336 in exponential form is:

22336 = 2⁶ × 349¹

Step-2: Prime Factorization of 22350

Prime factors of 22350 are 2, 3, 5, 149. Prime factorization of 22350 in exponential form is:

22350 = 2¹ × 3¹ × 5² × 149¹

Step-3: Factors of 22336

List of positive integer factors of 22336 that divides 22336 without a remainder.

1, 2, 4, 8, 16, 32, 64, 349, 698, 1396, 2792, 5584, 11168

Step-4: Factors of 22350

List of positive integer factors of 22350 that divides 22336 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 149, 150, 298, 447, 745, 894, 1490, 2235, 3725, 4470, 7450, 11175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22336 and 22350. The biggest common factor number is the GCF number.
So the greatest common factor 22336 and 22350 is 2.

Also check out the Least Common Multiple of 22336 and 22350