What is the Greatest Common Factor of 11552 and 11562?

Greatest common factor (GCF) of 11552 and 11562 is 2.

GCF(11552,11562) = 2

We will now calculate the prime factors of 11552 and 11562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11552 and 11562.

How to find the GCF of 11552 and 11562?

We will first find the prime factorization of 11552 and 11562. After we will calculate the factors of 11552 and 11562 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 11562

Prime factors of 11562 are 2, 3, 41, 47. Prime factorization of 11562 in exponential form is:

11562 = 2¹ × 3¹ × 41¹ × 47¹

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 11562

List of positive integer factors of 11562 that divides 11552 without a remainder.

1, 2, 3, 6, 41, 47, 82, 94, 123, 141, 246, 282, 1927, 3854, 5781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11552 and 11562. The biggest common factor number is the GCF number.
So the greatest common factor 11552 and 11562 is 2.

Also check out the Least Common Multiple of 11552 and 11562