What is the Greatest Common Factor of 22160 and 22170?

Greatest common factor (GCF) of 22160 and 22170 is 10.

GCF(22160,22170) = 10

We will now calculate the prime factors of 22160 and 22170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22160 and 22170.

How to find the GCF of 22160 and 22170?

We will first find the prime factorization of 22160 and 22170. After we will calculate the factors of 22160 and 22170 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22170

Prime factors of 22170 are 2, 3, 5, 739. Prime factorization of 22170 in exponential form is:

22170 = 2¹ × 3¹ × 5¹ × 739¹

Step-3: Factors of 22160

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

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

Step-4: Factors of 22170

List of positive integer factors of 22170 that divides 22160 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 739, 1478, 2217, 3695, 4434, 7390, 11085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22160 and 22170. The biggest common factor number is the GCF number.
So the greatest common factor 22160 and 22170 is 10.

Also check out the Least Common Multiple of 22160 and 22170