What is the Greatest Common Factor of 22270 and 22275?

Greatest common factor (GCF) of 22270 and 22275 is 5.

GCF(22270,22275) = 5

We will now calculate the prime factors of 22270 and 22275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22270 and 22275.

How to find the GCF of 22270 and 22275?

We will first find the prime factorization of 22270 and 22275. After we will calculate the factors of 22270 and 22275 and find the biggest common factor number .

Step-1: Prime Factorization of 22270

Prime factors of 22270 are 2, 5, 17, 131. Prime factorization of 22270 in exponential form is:

22270 = 2¹ × 5¹ × 17¹ × 131¹

Step-2: Prime Factorization of 22275

Prime factors of 22275 are 3, 5, 11. Prime factorization of 22275 in exponential form is:

22275 = 3⁴ × 5² × 11¹

Step-3: Factors of 22270

List of positive integer factors of 22270 that divides 22270 without a remainder.

1, 2, 5, 10, 17, 34, 85, 131, 170, 262, 655, 1310, 2227, 4454, 11135

Step-4: Factors of 22275

List of positive integer factors of 22275 that divides 22270 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 81, 99, 135, 165, 225, 275, 297, 405, 495, 675, 825, 891, 1485, 2025, 2475, 4455, 7425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22270 and 22275. The biggest common factor number is the GCF number.
So the greatest common factor 22270 and 22275 is 5.

Also check out the Least Common Multiple of 22270 and 22275