What is the Greatest Common Factor of 22350 and 22364?

Greatest common factor (GCF) of 22350 and 22364 is 2.

GCF(22350,22364) = 2

We will now calculate the prime factors of 22350 and 22364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22350 and 22364.

How to find the GCF of 22350 and 22364?

We will first find the prime factorization of 22350 and 22364. After we will calculate the factors of 22350 and 22364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22364

Prime factors of 22364 are 2, 5591. Prime factorization of 22364 in exponential form is:

22364 = 2² × 5591¹

Step-3: Factors of 22350

List of positive integer factors of 22350 that divides 22350 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

Step-4: Factors of 22364

List of positive integer factors of 22364 that divides 22350 without a remainder.

1, 2, 4, 5591, 11182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22350 and 22364. The biggest common factor number is the GCF number.
So the greatest common factor 22350 and 22364 is 2.

Also check out the Least Common Multiple of 22350 and 22364