What is the Greatest Common Factor of 82844 and 82850?

Greatest common factor (GCF) of 82844 and 82850 is 2.

GCF(82844,82850) = 2

We will now calculate the prime factors of 82844 and 82850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82844 and 82850.

How to find the GCF of 82844 and 82850?

We will first find the prime factorization of 82844 and 82850. After we will calculate the factors of 82844 and 82850 and find the biggest common factor number .

Step-1: Prime Factorization of 82844

Prime factors of 82844 are 2, 139, 149. Prime factorization of 82844 in exponential form is:

82844 = 2² × 139¹ × 149¹

Step-2: Prime Factorization of 82850

Prime factors of 82850 are 2, 5, 1657. Prime factorization of 82850 in exponential form is:

82850 = 2¹ × 5² × 1657¹

Step-3: Factors of 82844

List of positive integer factors of 82844 that divides 82844 without a remainder.

1, 2, 4, 139, 149, 278, 298, 556, 596, 20711, 41422

Step-4: Factors of 82850

List of positive integer factors of 82850 that divides 82844 without a remainder.

1, 2, 5, 10, 25, 50, 1657, 3314, 8285, 16570, 41425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82844 and 82850. The biggest common factor number is the GCF number.
So the greatest common factor 82844 and 82850 is 2.

Also check out the Least Common Multiple of 82844 and 82850