What is the Greatest Common Factor of 89630 and 89650?

Greatest common factor (GCF) of 89630 and 89650 is 10.

GCF(89630,89650) = 10

We will now calculate the prime factors of 89630 and 89650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89630 and 89650.

How to find the GCF of 89630 and 89650?

We will first find the prime factorization of 89630 and 89650. After we will calculate the factors of 89630 and 89650 and find the biggest common factor number .

Step-1: Prime Factorization of 89630

Prime factors of 89630 are 2, 5, 8963. Prime factorization of 89630 in exponential form is:

89630 = 2¹ × 5¹ × 8963¹

Step-2: Prime Factorization of 89650

Prime factors of 89650 are 2, 5, 11, 163. Prime factorization of 89650 in exponential form is:

89650 = 2¹ × 5² × 11¹ × 163¹

Step-3: Factors of 89630

List of positive integer factors of 89630 that divides 89630 without a remainder.

1, 2, 5, 10, 8963, 17926, 44815

Step-4: Factors of 89650

List of positive integer factors of 89650 that divides 89630 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 163, 275, 326, 550, 815, 1630, 1793, 3586, 4075, 8150, 8965, 17930, 44825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89630 and 89650. The biggest common factor number is the GCF number.
So the greatest common factor 89630 and 89650 is 10.

Also check out the Least Common Multiple of 89630 and 89650