What is the Greatest Common Factor of 23552 and 23561?

Greatest common factor (GCF) of 23552 and 23561 is 1.

GCF(23552,23561) = 1

We will now calculate the prime factors of 23552 and 23561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23552 and 23561.

How to find the GCF of 23552 and 23561?

We will first find the prime factorization of 23552 and 23561. After we will calculate the factors of 23552 and 23561 and find the biggest common factor number .

Step-1: Prime Factorization of 23552

Prime factors of 23552 are 2, 23. Prime factorization of 23552 in exponential form is:

23552 = 2¹⁰ × 23¹

Step-2: Prime Factorization of 23561

Prime factors of 23561 are 23561. Prime factorization of 23561 in exponential form is:

23561 = 23561¹

Step-3: Factors of 23552

List of positive integer factors of 23552 that divides 23552 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2944, 5888, 11776

Step-4: Factors of 23561

List of positive integer factors of 23561 that divides 23552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23552 and 23561. The biggest common factor number is the GCF number.
So the greatest common factor 23552 and 23561 is 1.

Also check out the Least Common Multiple of 23552 and 23561