What is the Greatest Common Factor of 22730 and 22735?

Greatest common factor (GCF) of 22730 and 22735 is 5.

GCF(22730,22735) = 5

We will now calculate the prime factors of 22730 and 22735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22730 and 22735.

How to find the GCF of 22730 and 22735?

We will first find the prime factorization of 22730 and 22735. After we will calculate the factors of 22730 and 22735 and find the biggest common factor number .

Step-1: Prime Factorization of 22730

Prime factors of 22730 are 2, 5, 2273. Prime factorization of 22730 in exponential form is:

22730 = 2¹ × 5¹ × 2273¹

Step-2: Prime Factorization of 22735

Prime factors of 22735 are 5, 4547. Prime factorization of 22735 in exponential form is:

22735 = 5¹ × 4547¹

Step-3: Factors of 22730

List of positive integer factors of 22730 that divides 22730 without a remainder.

1, 2, 5, 10, 2273, 4546, 11365

Step-4: Factors of 22735

List of positive integer factors of 22735 that divides 22730 without a remainder.

1, 5, 4547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22730 and 22735. The biggest common factor number is the GCF number.
So the greatest common factor 22730 and 22735 is 5.

Also check out the Least Common Multiple of 22730 and 22735