What is the Greatest Common Factor of 11506 and 11512?

Greatest common factor (GCF) of 11506 and 11512 is 2.

GCF(11506,11512) = 2

We will now calculate the prime factors of 11506 and 11512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11506 and 11512.

How to find the GCF of 11506 and 11512?

We will first find the prime factorization of 11506 and 11512. After we will calculate the factors of 11506 and 11512 and find the biggest common factor number .

Step-1: Prime Factorization of 11506

Prime factors of 11506 are 2, 11, 523. Prime factorization of 11506 in exponential form is:

11506 = 2¹ × 11¹ × 523¹

Step-2: Prime Factorization of 11512

Prime factors of 11512 are 2, 1439. Prime factorization of 11512 in exponential form is:

11512 = 2³ × 1439¹

Step-3: Factors of 11506

List of positive integer factors of 11506 that divides 11506 without a remainder.

1, 2, 11, 22, 523, 1046, 5753

Step-4: Factors of 11512

List of positive integer factors of 11512 that divides 11506 without a remainder.

1, 2, 4, 8, 1439, 2878, 5756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11506 and 11512. The biggest common factor number is the GCF number.
So the greatest common factor 11506 and 11512 is 2.

Also check out the Least Common Multiple of 11506 and 11512