What is the Greatest Common Factor of 84820 and 84825?

Greatest common factor (GCF) of 84820 and 84825 is 5.

GCF(84820,84825) = 5

We will now calculate the prime factors of 84820 and 84825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84820 and 84825.

How to find the GCF of 84820 and 84825?

We will first find the prime factorization of 84820 and 84825. After we will calculate the factors of 84820 and 84825 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84825

Prime factors of 84825 are 3, 5, 13, 29. Prime factorization of 84825 in exponential form is:

84825 = 3² × 5² × 13¹ × 29¹

Step-3: Factors of 84820

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

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

Step-4: Factors of 84825

List of positive integer factors of 84825 that divides 84820 without a remainder.

1, 3, 5, 9, 13, 15, 25, 29, 39, 45, 65, 75, 87, 117, 145, 195, 225, 261, 325, 377, 435, 585, 725, 975, 1131, 1305, 1885, 2175, 2925, 3393, 5655, 6525, 9425, 16965, 28275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84820 and 84825. The biggest common factor number is the GCF number.
So the greatest common factor 84820 and 84825 is 5.

Also check out the Least Common Multiple of 84820 and 84825