What is the Greatest Common Factor of 11626 and 11632?

Greatest common factor (GCF) of 11626 and 11632 is 2.

GCF(11626,11632) = 2

We will now calculate the prime factors of 11626 and 11632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11626 and 11632.

How to find the GCF of 11626 and 11632?

We will first find the prime factorization of 11626 and 11632. After we will calculate the factors of 11626 and 11632 and find the biggest common factor number .

Step-1: Prime Factorization of 11626

Prime factors of 11626 are 2, 5813. Prime factorization of 11626 in exponential form is:

11626 = 2¹ × 5813¹

Step-2: Prime Factorization of 11632

Prime factors of 11632 are 2, 727. Prime factorization of 11632 in exponential form is:

11632 = 2⁴ × 727¹

Step-3: Factors of 11626

List of positive integer factors of 11626 that divides 11626 without a remainder.

1, 2, 5813

Step-4: Factors of 11632

List of positive integer factors of 11632 that divides 11626 without a remainder.

1, 2, 4, 8, 16, 727, 1454, 2908, 5816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11626 and 11632. The biggest common factor number is the GCF number.
So the greatest common factor 11626 and 11632 is 2.

Also check out the Least Common Multiple of 11626 and 11632