What is the Greatest Common Factor of 22633 and 22653?

Greatest common factor (GCF) of 22633 and 22653 is 1.

GCF(22633,22653) = 1

We will now calculate the prime factors of 22633 and 22653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22633 and 22653.

How to find the GCF of 22633 and 22653?

We will first find the prime factorization of 22633 and 22653. After we will calculate the factors of 22633 and 22653 and find the biggest common factor number .

Step-1: Prime Factorization of 22633

Prime factors of 22633 are 13, 1741. Prime factorization of 22633 in exponential form is:

22633 = 13¹ × 1741¹

Step-2: Prime Factorization of 22653

Prime factors of 22653 are 3, 839. Prime factorization of 22653 in exponential form is:

22653 = 3³ × 839¹

Step-3: Factors of 22633

List of positive integer factors of 22633 that divides 22633 without a remainder.

1, 13, 1741

Step-4: Factors of 22653

List of positive integer factors of 22653 that divides 22633 without a remainder.

1, 3, 9, 27, 839, 2517, 7551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22633 and 22653. The biggest common factor number is the GCF number.
So the greatest common factor 22633 and 22653 is 1.

Also check out the Least Common Multiple of 22633 and 22653