What is the Greatest Common Factor of 22665 and 22683?

Greatest common factor (GCF) of 22665 and 22683 is 3.

GCF(22665,22683) = 3

We will now calculate the prime factors of 22665 and 22683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22665 and 22683.

How to find the GCF of 22665 and 22683?

We will first find the prime factorization of 22665 and 22683. After we will calculate the factors of 22665 and 22683 and find the biggest common factor number .

Step-1: Prime Factorization of 22665

Prime factors of 22665 are 3, 5, 1511. Prime factorization of 22665 in exponential form is:

22665 = 3¹ × 5¹ × 1511¹

Step-2: Prime Factorization of 22683

Prime factors of 22683 are 3, 7561. Prime factorization of 22683 in exponential form is:

22683 = 3¹ × 7561¹

Step-3: Factors of 22665

List of positive integer factors of 22665 that divides 22665 without a remainder.

1, 3, 5, 15, 1511, 4533, 7555

Step-4: Factors of 22683

List of positive integer factors of 22683 that divides 22665 without a remainder.

1, 3, 7561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22665 and 22683. The biggest common factor number is the GCF number.
So the greatest common factor 22665 and 22683 is 3.

Also check out the Least Common Multiple of 22665 and 22683