What is the Greatest Common Factor of 89650 and 89654?

Greatest common factor (GCF) of 89650 and 89654 is 2.

GCF(89650,89654) = 2

We will now calculate the prime factors of 89650 and 89654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89650 and 89654.

How to find the GCF of 89650 and 89654?

We will first find the prime factorization of 89650 and 89654. After we will calculate the factors of 89650 and 89654 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89654

Prime factors of 89654 are 2, 23, 1949. Prime factorization of 89654 in exponential form is:

89654 = 2¹ × 23¹ × 1949¹

Step-3: Factors of 89650

List of positive integer factors of 89650 that divides 89650 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

Step-4: Factors of 89654

List of positive integer factors of 89654 that divides 89650 without a remainder.

1, 2, 23, 46, 1949, 3898, 44827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89650 and 89654. The biggest common factor number is the GCF number.
So the greatest common factor 89650 and 89654 is 2.

Also check out the Least Common Multiple of 89650 and 89654