What is the Greatest Common Factor of 84800 and 84820?

Greatest common factor (GCF) of 84800 and 84820 is 20.

GCF(84800,84820) = 20

We will now calculate the prime factors of 84800 and 84820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84800 and 84820.

How to find the GCF of 84800 and 84820?

We will first find the prime factorization of 84800 and 84820. After we will calculate the factors of 84800 and 84820 and find the biggest common factor number .

Step-1: Prime Factorization of 84800

Prime factors of 84800 are 2, 5, 53. Prime factorization of 84800 in exponential form is:

84800 = 2⁶ × 5² × 53¹

Step-2: Prime Factorization of 84820

Prime factors of 84820 are 2, 5, 4241. Prime factorization of 84820 in exponential form is:

84820 = 2² × 5¹ × 4241¹

Step-3: Factors of 84800

List of positive integer factors of 84800 that divides 84800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 53, 64, 80, 100, 106, 160, 200, 212, 265, 320, 400, 424, 530, 800, 848, 1060, 1325, 1600, 1696, 2120, 2650, 3392, 4240, 5300, 8480, 10600, 16960, 21200, 42400

Step-4: Factors of 84820

List of positive integer factors of 84820 that divides 84800 without a remainder.

1, 2, 4, 5, 10, 20, 4241, 8482, 16964, 21205, 42410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84800 and 84820. The biggest common factor number is the GCF number.
So the greatest common factor 84800 and 84820 is 20.

Also check out the Least Common Multiple of 84800 and 84820