What is the Greatest Common Factor of 23072 and 23080?

Greatest common factor (GCF) of 23072 and 23080 is 8.

GCF(23072,23080) = 8

We will now calculate the prime factors of 23072 and 23080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23072 and 23080.

How to find the GCF of 23072 and 23080?

We will first find the prime factorization of 23072 and 23080. After we will calculate the factors of 23072 and 23080 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 23080

Prime factors of 23080 are 2, 5, 577. Prime factorization of 23080 in exponential form is:

23080 = 2³ × 5¹ × 577¹

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 23080

List of positive integer factors of 23080 that divides 23072 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 577, 1154, 2308, 2885, 4616, 5770, 11540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23072 and 23080. The biggest common factor number is the GCF number.
So the greatest common factor 23072 and 23080 is 8.

Also check out the Least Common Multiple of 23072 and 23080