What is the Greatest Common Factor of 23072 and 23078?

Greatest common factor (GCF) of 23072 and 23078 is 2.

GCF(23072,23078) = 2

We will now calculate the prime factors of 23072 and 23078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23072 and 23078.

How to find the GCF of 23072 and 23078?

We will first find the prime factorization of 23072 and 23078. After we will calculate the factors of 23072 and 23078 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 23078

Prime factors of 23078 are 2, 11, 1049. Prime factorization of 23078 in exponential form is:

23078 = 2¹ × 11¹ × 1049¹

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 23078

List of positive integer factors of 23078 that divides 23072 without a remainder.

1, 2, 11, 22, 1049, 2098, 11539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23072 and 23078. The biggest common factor number is the GCF number.
So the greatest common factor 23072 and 23078 is 2.

Also check out the Least Common Multiple of 23072 and 23078