What is the Greatest Common Factor of 23613 and 23622?

Greatest common factor (GCF) of 23613 and 23622 is 3.

GCF(23613,23622) = 3

We will now calculate the prime factors of 23613 and 23622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23613 and 23622.

How to find the GCF of 23613 and 23622?

We will first find the prime factorization of 23613 and 23622. After we will calculate the factors of 23613 and 23622 and find the biggest common factor number .

Step-1: Prime Factorization of 23613

Prime factors of 23613 are 3, 17, 463. Prime factorization of 23613 in exponential form is:

23613 = 3¹ × 17¹ × 463¹

Step-2: Prime Factorization of 23622

Prime factors of 23622 are 2, 3, 31, 127. Prime factorization of 23622 in exponential form is:

23622 = 2¹ × 3¹ × 31¹ × 127¹

Step-3: Factors of 23613

List of positive integer factors of 23613 that divides 23613 without a remainder.

1, 3, 17, 51, 463, 1389, 7871

Step-4: Factors of 23622

List of positive integer factors of 23622 that divides 23613 without a remainder.

1, 2, 3, 6, 31, 62, 93, 127, 186, 254, 381, 762, 3937, 7874, 11811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23613 and 23622. The biggest common factor number is the GCF number.
So the greatest common factor 23613 and 23622 is 3.

Also check out the Least Common Multiple of 23613 and 23622