What is the Greatest Common Factor of 96814 and 96820?

Greatest common factor (GCF) of 96814 and 96820 is 2.

GCF(96814,96820) = 2

We will now calculate the prime factors of 96814 and 96820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96814 and 96820.

How to find the GCF of 96814 and 96820?

We will first find the prime factorization of 96814 and 96820. After we will calculate the factors of 96814 and 96820 and find the biggest common factor number .

Step-1: Prime Factorization of 96814

Prime factors of 96814 are 2, 48407. Prime factorization of 96814 in exponential form is:

96814 = 2¹ × 48407¹

Step-2: Prime Factorization of 96820

Prime factors of 96820 are 2, 5, 47, 103. Prime factorization of 96820 in exponential form is:

96820 = 2² × 5¹ × 47¹ × 103¹

Step-3: Factors of 96814

List of positive integer factors of 96814 that divides 96814 without a remainder.

1, 2, 48407

Step-4: Factors of 96820

List of positive integer factors of 96820 that divides 96814 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 103, 188, 206, 235, 412, 470, 515, 940, 1030, 2060, 4841, 9682, 19364, 24205, 48410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96814 and 96820. The biggest common factor number is the GCF number.
So the greatest common factor 96814 and 96820 is 2.

Also check out the Least Common Multiple of 96814 and 96820