What is the Greatest Common Factor of 96930 and 96950?

Greatest common factor (GCF) of 96930 and 96950 is 10.

GCF(96930,96950) = 10

We will now calculate the prime factors of 96930 and 96950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96930 and 96950.

How to find the GCF of 96930 and 96950?

We will first find the prime factorization of 96930 and 96950. After we will calculate the factors of 96930 and 96950 and find the biggest common factor number .

Step-1: Prime Factorization of 96930

Prime factors of 96930 are 2, 3, 5, 359. Prime factorization of 96930 in exponential form is:

96930 = 2¹ × 3³ × 5¹ × 359¹

Step-2: Prime Factorization of 96950

Prime factors of 96950 are 2, 5, 7, 277. Prime factorization of 96950 in exponential form is:

96950 = 2¹ × 5² × 7¹ × 277¹

Step-3: Factors of 96930

List of positive integer factors of 96930 that divides 96930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 359, 718, 1077, 1795, 2154, 3231, 3590, 5385, 6462, 9693, 10770, 16155, 19386, 32310, 48465

Step-4: Factors of 96950

List of positive integer factors of 96950 that divides 96930 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 277, 350, 554, 1385, 1939, 2770, 3878, 6925, 9695, 13850, 19390, 48475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96930 and 96950. The biggest common factor number is the GCF number.
So the greatest common factor 96930 and 96950 is 10.

Also check out the Least Common Multiple of 96930 and 96950