What is the Greatest Common Factor of 96820 and 96828?

Greatest common factor (GCF) of 96820 and 96828 is 4.

GCF(96820,96828) = 4

We will now calculate the prime factors of 96820 and 96828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96820 and 96828.

How to find the GCF of 96820 and 96828?

We will first find the prime factorization of 96820 and 96828. After we will calculate the factors of 96820 and 96828 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96828

Prime factors of 96828 are 2, 3, 8069. Prime factorization of 96828 in exponential form is:

96828 = 2² × 3¹ × 8069¹

Step-3: Factors of 96820

List of positive integer factors of 96820 that divides 96820 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

Step-4: Factors of 96828

List of positive integer factors of 96828 that divides 96820 without a remainder.

1, 2, 3, 4, 6, 12, 8069, 16138, 24207, 32276, 48414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96820 and 96828. The biggest common factor number is the GCF number.
So the greatest common factor 96820 and 96828 is 4.

Also check out the Least Common Multiple of 96820 and 96828