What is the Greatest Common Factor of 22145 and 22160?

Greatest common factor (GCF) of 22145 and 22160 is 5.

GCF(22145,22160) = 5

We will now calculate the prime factors of 22145 and 22160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22145 and 22160.

How to find the GCF of 22145 and 22160?

We will first find the prime factorization of 22145 and 22160. After we will calculate the factors of 22145 and 22160 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 22160

Prime factors of 22160 are 2, 5, 277. Prime factorization of 22160 in exponential form is:

22160 = 2⁴ × 5¹ × 277¹

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 22160

List of positive integer factors of 22160 that divides 22145 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 277, 554, 1108, 1385, 2216, 2770, 4432, 5540, 11080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22145 and 22160. The biggest common factor number is the GCF number.
So the greatest common factor 22145 and 22160 is 5.

Also check out the Least Common Multiple of 22145 and 22160