What is the Greatest Common Factor of 85821 and 85830?

Greatest common factor (GCF) of 85821 and 85830 is 3.

GCF(85821,85830) = 3

We will now calculate the prime factors of 85821 and 85830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85821 and 85830.

How to find the GCF of 85821 and 85830?

We will first find the prime factorization of 85821 and 85830. After we will calculate the factors of 85821 and 85830 and find the biggest common factor number .

Step-1: Prime Factorization of 85821

Prime factors of 85821 are 3, 28607. Prime factorization of 85821 in exponential form is:

85821 = 3¹ × 28607¹

Step-2: Prime Factorization of 85830

Prime factors of 85830 are 2, 3, 5, 2861. Prime factorization of 85830 in exponential form is:

85830 = 2¹ × 3¹ × 5¹ × 2861¹

Step-3: Factors of 85821

List of positive integer factors of 85821 that divides 85821 without a remainder.

1, 3, 28607

Step-4: Factors of 85830

List of positive integer factors of 85830 that divides 85821 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2861, 5722, 8583, 14305, 17166, 28610, 42915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85821 and 85830. The biggest common factor number is the GCF number.
So the greatest common factor 85821 and 85830 is 3.

Also check out the Least Common Multiple of 85821 and 85830