What is the Greatest Common Factor of 82844 and 82859?

Greatest common factor (GCF) of 82844 and 82859 is 1.

GCF(82844,82859) = 1

We will now calculate the prime factors of 82844 and 82859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82844 and 82859.

How to find the GCF of 82844 and 82859?

We will first find the prime factorization of 82844 and 82859. After we will calculate the factors of 82844 and 82859 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 82859

Prime factors of 82859 are 7, 19, 89. Prime factorization of 82859 in exponential form is:

82859 = 7² × 19¹ × 89¹

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 82859

List of positive integer factors of 82859 that divides 82844 without a remainder.

1, 7, 19, 49, 89, 133, 623, 931, 1691, 4361, 11837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82844 and 82859. The biggest common factor number is the GCF number.
So the greatest common factor 82844 and 82859 is 1.

Also check out the Least Common Multiple of 82844 and 82859