What is the Greatest Common Factor of 96934 and 96940?

Greatest common factor (GCF) of 96934 and 96940 is 2.

GCF(96934,96940) = 2

We will now calculate the prime factors of 96934 and 96940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96934 and 96940.

How to find the GCF of 96934 and 96940?

We will first find the prime factorization of 96934 and 96940. After we will calculate the factors of 96934 and 96940 and find the biggest common factor number .

Step-1: Prime Factorization of 96934

Prime factors of 96934 are 2, 17, 2851. Prime factorization of 96934 in exponential form is:

96934 = 2¹ × 17¹ × 2851¹

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 96934

List of positive integer factors of 96934 that divides 96934 without a remainder.

1, 2, 17, 34, 2851, 5702, 48467

Step-4: Factors of 96940

List of positive integer factors of 96940 that divides 96934 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 96934 and 96940. The biggest common factor number is the GCF number.
So the greatest common factor 96934 and 96940 is 2.

Also check out the Least Common Multiple of 96934 and 96940