What is the Greatest Common Factor of 23088 and 23101?

Greatest common factor (GCF) of 23088 and 23101 is 13.

GCF(23088,23101) = 13

We will now calculate the prime factors of 23088 and 23101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23088 and 23101.

How to find the GCF of 23088 and 23101?

We will first find the prime factorization of 23088 and 23101. After we will calculate the factors of 23088 and 23101 and find the biggest common factor number .

Step-1: Prime Factorization of 23088

Prime factors of 23088 are 2, 3, 13, 37. Prime factorization of 23088 in exponential form is:

23088 = 2⁴ × 3¹ × 13¹ × 37¹

Step-2: Prime Factorization of 23101

Prime factors of 23101 are 13, 1777. Prime factorization of 23101 in exponential form is:

23101 = 13¹ × 1777¹

Step-3: Factors of 23088

List of positive integer factors of 23088 that divides 23088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 37, 39, 48, 52, 74, 78, 104, 111, 148, 156, 208, 222, 296, 312, 444, 481, 592, 624, 888, 962, 1443, 1776, 1924, 2886, 3848, 5772, 7696, 11544

Step-4: Factors of 23101

List of positive integer factors of 23101 that divides 23088 without a remainder.

1, 13, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23088 and 23101. The biggest common factor number is the GCF number.
So the greatest common factor 23088 and 23101 is 13.

Also check out the Least Common Multiple of 23088 and 23101