What is the Greatest Common Factor of 96920 and 96930?

Greatest common factor (GCF) of 96920 and 96930 is 10.

GCF(96920,96930) = 10

We will now calculate the prime factors of 96920 and 96930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96920 and 96930.

How to find the GCF of 96920 and 96930?

We will first find the prime factorization of 96920 and 96930. After we will calculate the factors of 96920 and 96930 and find the biggest common factor number .

Step-1: Prime Factorization of 96920

Prime factors of 96920 are 2, 5, 2423. Prime factorization of 96920 in exponential form is:

96920 = 2³ × 5¹ × 2423¹

Step-2: 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-3: Factors of 96920

List of positive integer factors of 96920 that divides 96920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2423, 4846, 9692, 12115, 19384, 24230, 48460

Step-4: Factors of 96930

List of positive integer factors of 96930 that divides 96920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96920 and 96930. The biggest common factor number is the GCF number.
So the greatest common factor 96920 and 96930 is 10.

Also check out the Least Common Multiple of 96920 and 96930