What is the Greatest Common Factor of 23072 and 23088?

Greatest common factor (GCF) of 23072 and 23088 is 16.

GCF(23072,23088) = 16

We will now calculate the prime factors of 23072 and 23088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23072 and 23088.

How to find the GCF of 23072 and 23088?

We will first find the prime factorization of 23072 and 23088. After we will calculate the factors of 23072 and 23088 and find the biggest common factor number .

Step-1: Prime Factorization of 23072

Prime factors of 23072 are 2, 7, 103. Prime factorization of 23072 in exponential form is:

23072 = 2⁵ × 7¹ × 103¹

Step-2: 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-3: Factors of 23072

List of positive integer factors of 23072 that divides 23072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 103, 112, 206, 224, 412, 721, 824, 1442, 1648, 2884, 3296, 5768, 11536

Step-4: Factors of 23088

List of positive integer factors of 23088 that divides 23072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23072 and 23088. The biggest common factor number is the GCF number.
So the greatest common factor 23072 and 23088 is 16.

Also check out the Least Common Multiple of 23072 and 23088