What is the Greatest Common Factor of 85845 and 85853?

Greatest common factor (GCF) of 85845 and 85853 is 1.

GCF(85845,85853) = 1

We will now calculate the prime factors of 85845 and 85853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85845 and 85853.

How to find the GCF of 85845 and 85853?

We will first find the prime factorization of 85845 and 85853. After we will calculate the factors of 85845 and 85853 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 85853

Prime factors of 85853 are 85853. Prime factorization of 85853 in exponential form is:

85853 = 85853¹

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 85853

List of positive integer factors of 85853 that divides 85845 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85845 and 85853. The biggest common factor number is the GCF number.
So the greatest common factor 85845 and 85853 is 1.

Also check out the Least Common Multiple of 85845 and 85853