What is the Greatest Common Factor of 85845 and 85863?

Greatest common factor (GCF) of 85845 and 85863 is 3.

GCF(85845,85863) = 3

We will now calculate the prime factors of 85845 and 85863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85845 and 85863.

How to find the GCF of 85845 and 85863?

We will first find the prime factorization of 85845 and 85863. After we will calculate the factors of 85845 and 85863 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85863

Prime factors of 85863 are 3, 28621. Prime factorization of 85863 in exponential form is:

85863 = 3¹ × 28621¹

Step-3: Factors of 85845

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

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

Step-4: Factors of 85863

List of positive integer factors of 85863 that divides 85845 without a remainder.

1, 3, 28621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85845 and 85863. The biggest common factor number is the GCF number.
So the greatest common factor 85845 and 85863 is 3.

Also check out the Least Common Multiple of 85845 and 85863