What is the Greatest Common Factor of 96930 and 96940?

Greatest common factor (GCF) of 96930 and 96940 is 10.

GCF(96930,96940) = 10

We will now calculate the prime factors of 96930 and 96940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96930 and 96940.

How to find the GCF of 96930 and 96940?

We will first find the prime factorization of 96930 and 96940. After we will calculate the factors of 96930 and 96940 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 96940

Prime factors of 96940 are 2, 5, 37, 131. Prime factorization of 96940 in exponential form is:

96940 = 2² × 5¹ × 37¹ × 131¹

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 96940

List of positive integer factors of 96940 that divides 96930 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 131, 148, 185, 262, 370, 524, 655, 740, 1310, 2620, 4847, 9694, 19388, 24235, 48470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96930 and 96940. The biggest common factor number is the GCF number.
So the greatest common factor 96930 and 96940 is 10.

Also check out the Least Common Multiple of 96930 and 96940