What is the Greatest Common Factor of 89626 and 89632?

Greatest common factor (GCF) of 89626 and 89632 is 2.

GCF(89626,89632) = 2

We will now calculate the prime factors of 89626 and 89632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89626 and 89632.

How to find the GCF of 89626 and 89632?

We will first find the prime factorization of 89626 and 89632. After we will calculate the factors of 89626 and 89632 and find the biggest common factor number .

Step-1: Prime Factorization of 89626

Prime factors of 89626 are 2, 41, 1093. Prime factorization of 89626 in exponential form is:

89626 = 2¹ × 41¹ × 1093¹

Step-2: Prime Factorization of 89632

Prime factors of 89632 are 2, 2801. Prime factorization of 89632 in exponential form is:

89632 = 2⁵ × 2801¹

Step-3: Factors of 89626

List of positive integer factors of 89626 that divides 89626 without a remainder.

1, 2, 41, 82, 1093, 2186, 44813

Step-4: Factors of 89632

List of positive integer factors of 89632 that divides 89626 without a remainder.

1, 2, 4, 8, 16, 32, 2801, 5602, 11204, 22408, 44816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89626 and 89632. The biggest common factor number is the GCF number.
So the greatest common factor 89626 and 89632 is 2.

Also check out the Least Common Multiple of 89626 and 89632