What is the Greatest Common Factor of 11552 and 11564?

Greatest common factor (GCF) of 11552 and 11564 is 4.

GCF(11552,11564) = 4

We will now calculate the prime factors of 11552 and 11564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11552 and 11564.

How to find the GCF of 11552 and 11564?

We will first find the prime factorization of 11552 and 11564. After we will calculate the factors of 11552 and 11564 and find the biggest common factor number .

Step-1: Prime Factorization of 11552

Prime factors of 11552 are 2, 19. Prime factorization of 11552 in exponential form is:

11552 = 2⁵ × 19²

Step-2: Prime Factorization of 11564

Prime factors of 11564 are 2, 7, 59. Prime factorization of 11564 in exponential form is:

11564 = 2² × 7² × 59¹

Step-3: Factors of 11552

List of positive integer factors of 11552 that divides 11552 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 361, 608, 722, 1444, 2888, 5776

Step-4: Factors of 11564

List of positive integer factors of 11564 that divides 11552 without a remainder.

1, 2, 4, 7, 14, 28, 49, 59, 98, 118, 196, 236, 413, 826, 1652, 2891, 5782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11552 and 11564. The biggest common factor number is the GCF number.
So the greatest common factor 11552 and 11564 is 4.

Also check out the Least Common Multiple of 11552 and 11564