What is the Greatest Common Factor of 23617 and 23628?

Greatest common factor (GCF) of 23617 and 23628 is 11.

GCF(23617,23628) = 11

We will now calculate the prime factors of 23617 and 23628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23617 and 23628.

How to find the GCF of 23617 and 23628?

We will first find the prime factorization of 23617 and 23628. After we will calculate the factors of 23617 and 23628 and find the biggest common factor number .

Step-1: Prime Factorization of 23617

Prime factors of 23617 are 11, 19, 113. Prime factorization of 23617 in exponential form is:

23617 = 11¹ × 19¹ × 113¹

Step-2: Prime Factorization of 23628

Prime factors of 23628 are 2, 3, 11, 179. Prime factorization of 23628 in exponential form is:

23628 = 2² × 3¹ × 11¹ × 179¹

Step-3: Factors of 23617

List of positive integer factors of 23617 that divides 23617 without a remainder.

1, 11, 19, 113, 209, 1243, 2147

Step-4: Factors of 23628

List of positive integer factors of 23628 that divides 23617 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 179, 358, 537, 716, 1074, 1969, 2148, 3938, 5907, 7876, 11814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23617 and 23628. The biggest common factor number is the GCF number.
So the greatest common factor 23617 and 23628 is 11.

Also check out the Least Common Multiple of 23617 and 23628