What is the Greatest Common Factor of 23065 and 23072?

Greatest common factor (GCF) of 23065 and 23072 is 7.

GCF(23065,23072) = 7

We will now calculate the prime factors of 23065 and 23072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23065 and 23072.

How to find the GCF of 23065 and 23072?

We will first find the prime factorization of 23065 and 23072. After we will calculate the factors of 23065 and 23072 and find the biggest common factor number .

Step-1: Prime Factorization of 23065

Prime factors of 23065 are 5, 7, 659. Prime factorization of 23065 in exponential form is:

23065 = 5¹ × 7¹ × 659¹

Step-2: 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-3: Factors of 23065

List of positive integer factors of 23065 that divides 23065 without a remainder.

1, 5, 7, 35, 659, 3295, 4613

Step-4: Factors of 23072

List of positive integer factors of 23072 that divides 23065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23065 and 23072. The biggest common factor number is the GCF number.
So the greatest common factor 23065 and 23072 is 7.

Also check out the Least Common Multiple of 23065 and 23072