What is the Greatest Common Factor of 22350 and 22370?

Greatest common factor (GCF) of 22350 and 22370 is 10.

GCF(22350,22370) = 10

We will now calculate the prime factors of 22350 and 22370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22350 and 22370.

How to find the GCF of 22350 and 22370?

We will first find the prime factorization of 22350 and 22370. After we will calculate the factors of 22350 and 22370 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 22370

Prime factors of 22370 are 2, 5, 2237. Prime factorization of 22370 in exponential form is:

22370 = 2¹ × 5¹ × 2237¹

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 22370

List of positive integer factors of 22370 that divides 22350 without a remainder.

1, 2, 5, 10, 2237, 4474, 11185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22350 and 22370. The biggest common factor number is the GCF number.
So the greatest common factor 22350 and 22370 is 10.

Also check out the Least Common Multiple of 22350 and 22370