What is the Greatest Common Factor of 85839 and 85845?

Greatest common factor (GCF) of 85839 and 85845 is 3.

GCF(85839,85845) = 3

We will now calculate the prime factors of 85839 and 85845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85839 and 85845.

How to find the GCF of 85839 and 85845?

We will first find the prime factorization of 85839 and 85845. After we will calculate the factors of 85839 and 85845 and find the biggest common factor number .

Step-1: Prime Factorization of 85839

Prime factors of 85839 are 3, 13, 31, 71. Prime factorization of 85839 in exponential form is:

85839 = 3¹ × 13¹ × 31¹ × 71¹

Step-2: Prime Factorization of 85845

Prime factors of 85845 are 3, 5, 59, 97. Prime factorization of 85845 in exponential form is:

85845 = 3¹ × 5¹ × 59¹ × 97¹

Step-3: Factors of 85839

List of positive integer factors of 85839 that divides 85839 without a remainder.

1, 3, 13, 31, 39, 71, 93, 213, 403, 923, 1209, 2201, 2769, 6603, 28613

Step-4: Factors of 85845

List of positive integer factors of 85845 that divides 85839 without a remainder.

1, 3, 5, 15, 59, 97, 177, 291, 295, 485, 885, 1455, 5723, 17169, 28615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85839 and 85845. The biggest common factor number is the GCF number.
So the greatest common factor 85839 and 85845 is 3.

Also check out the Least Common Multiple of 85839 and 85845