What is the Greatest Common Factor of 23552 and 23564?

Greatest common factor (GCF) of 23552 and 23564 is 4.

GCF(23552,23564) = 4

We will now calculate the prime factors of 23552 and 23564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23552 and 23564.

How to find the GCF of 23552 and 23564?

We will first find the prime factorization of 23552 and 23564. After we will calculate the factors of 23552 and 23564 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 23564

Prime factors of 23564 are 2, 43, 137. Prime factorization of 23564 in exponential form is:

23564 = 2² × 43¹ × 137¹

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 23564

List of positive integer factors of 23564 that divides 23552 without a remainder.

1, 2, 4, 43, 86, 137, 172, 274, 548, 5891, 11782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23552 and 23564. The biggest common factor number is the GCF number.
So the greatest common factor 23552 and 23564 is 4.

Also check out the Least Common Multiple of 23552 and 23564