What is the Greatest Common Factor of 89608 and 89626?

Greatest common factor (GCF) of 89608 and 89626 is 2.

GCF(89608,89626) = 2

We will now calculate the prime factors of 89608 and 89626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89608 and 89626.

How to find the GCF of 89608 and 89626?

We will first find the prime factorization of 89608 and 89626. After we will calculate the factors of 89608 and 89626 and find the biggest common factor number .

Step-1: Prime Factorization of 89608

Prime factors of 89608 are 2, 23, 487. Prime factorization of 89608 in exponential form is:

89608 = 2³ × 23¹ × 487¹

Step-2: 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-3: Factors of 89608

List of positive integer factors of 89608 that divides 89608 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 487, 974, 1948, 3896, 11201, 22402, 44804

Step-4: Factors of 89626

List of positive integer factors of 89626 that divides 89608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89608 and 89626. The biggest common factor number is the GCF number.
So the greatest common factor 89608 and 89626 is 2.

Also check out the Least Common Multiple of 89608 and 89626