What is the Greatest Common Factor of 11552 and 11572?

Greatest common factor (GCF) of 11552 and 11572 is 4.

GCF(11552,11572) = 4

We will now calculate the prime factors of 11552 and 11572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11552 and 11572.

How to find the GCF of 11552 and 11572?

We will first find the prime factorization of 11552 and 11572. After we will calculate the factors of 11552 and 11572 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 11572

Prime factors of 11572 are 2, 11, 263. Prime factorization of 11572 in exponential form is:

11572 = 2² × 11¹ × 263¹

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 11572

List of positive integer factors of 11572 that divides 11552 without a remainder.

1, 2, 4, 11, 22, 44, 263, 526, 1052, 2893, 5786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11552 and 11572. The biggest common factor number is the GCF number.
So the greatest common factor 11552 and 11572 is 4.

Also check out the Least Common Multiple of 11552 and 11572