What is the Greatest Common Factor of 22145 and 22150?

Greatest common factor (GCF) of 22145 and 22150 is 5.

GCF(22145,22150) = 5

We will now calculate the prime factors of 22145 and 22150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22145 and 22150.

How to find the GCF of 22145 and 22150?

We will first find the prime factorization of 22145 and 22150. After we will calculate the factors of 22145 and 22150 and find the biggest common factor number .

Step-1: Prime Factorization of 22145

Prime factors of 22145 are 5, 43, 103. Prime factorization of 22145 in exponential form is:

22145 = 5¹ × 43¹ × 103¹

Step-2: Prime Factorization of 22150

Prime factors of 22150 are 2, 5, 443. Prime factorization of 22150 in exponential form is:

22150 = 2¹ × 5² × 443¹

Step-3: Factors of 22145

List of positive integer factors of 22145 that divides 22145 without a remainder.

1, 5, 43, 103, 215, 515, 4429

Step-4: Factors of 22150

List of positive integer factors of 22150 that divides 22145 without a remainder.

1, 2, 5, 10, 25, 50, 443, 886, 2215, 4430, 11075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22145 and 22150. The biggest common factor number is the GCF number.
So the greatest common factor 22145 and 22150 is 5.

Also check out the Least Common Multiple of 22145 and 22150