What is the Greatest Common Factor of 22350 and 22362?

Greatest common factor (GCF) of 22350 and 22362 is 6.

GCF(22350,22362) = 6

We will now calculate the prime factors of 22350 and 22362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22350 and 22362.

How to find the GCF of 22350 and 22362?

We will first find the prime factorization of 22350 and 22362. After we will calculate the factors of 22350 and 22362 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 22362

Prime factors of 22362 are 2, 3, 3727. Prime factorization of 22362 in exponential form is:

22362 = 2¹ × 3¹ × 3727¹

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 22362

List of positive integer factors of 22362 that divides 22350 without a remainder.

1, 2, 3, 6, 3727, 7454, 11181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22350 and 22362. The biggest common factor number is the GCF number.
So the greatest common factor 22350 and 22362 is 6.

Also check out the Least Common Multiple of 22350 and 22362