What is the Greatest Common Factor of 89925 and 89930?

Greatest common factor (GCF) of 89925 and 89930 is 5.

GCF(89925,89930) = 5

We will now calculate the prime factors of 89925 and 89930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89925 and 89930.

How to find the GCF of 89925 and 89930?

We will first find the prime factorization of 89925 and 89930. After we will calculate the factors of 89925 and 89930 and find the biggest common factor number .

Step-1: Prime Factorization of 89925

Prime factors of 89925 are 3, 5, 11, 109. Prime factorization of 89925 in exponential form is:

89925 = 3¹ × 5² × 11¹ × 109¹

Step-2: Prime Factorization of 89930

Prime factors of 89930 are 2, 5, 17, 23. Prime factorization of 89930 in exponential form is:

89930 = 2¹ × 5¹ × 17¹ × 23²

Step-3: Factors of 89925

List of positive integer factors of 89925 that divides 89925 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 109, 165, 275, 327, 545, 825, 1199, 1635, 2725, 3597, 5995, 8175, 17985, 29975

Step-4: Factors of 89930

List of positive integer factors of 89930 that divides 89925 without a remainder.

1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 529, 782, 1058, 1955, 2645, 3910, 5290, 8993, 17986, 44965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89925 and 89930. The biggest common factor number is the GCF number.
So the greatest common factor 89925 and 89930 is 5.

Also check out the Least Common Multiple of 89925 and 89930