What is the Greatest Common Factor of 89930 and 89950?

Greatest common factor (GCF) of 89930 and 89950 is 10.

GCF(89930,89950) = 10

We will now calculate the prime factors of 89930 and 89950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89930 and 89950.

How to find the GCF of 89930 and 89950?

We will first find the prime factorization of 89930 and 89950. After we will calculate the factors of 89930 and 89950 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89950

Prime factors of 89950 are 2, 5, 7, 257. Prime factorization of 89950 in exponential form is:

89950 = 2¹ × 5² × 7¹ × 257¹

Step-3: Factors of 89930

List of positive integer factors of 89930 that divides 89930 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

Step-4: Factors of 89950

List of positive integer factors of 89950 that divides 89930 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 257, 350, 514, 1285, 1799, 2570, 3598, 6425, 8995, 12850, 17990, 44975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89930 and 89950. The biggest common factor number is the GCF number.
So the greatest common factor 89930 and 89950 is 10.

Also check out the Least Common Multiple of 89930 and 89950