What is the Greatest Common Factor of 90844 and 90857?

Greatest common factor (GCF) of 90844 and 90857 is 13.

GCF(90844,90857) = 13

We will now calculate the prime factors of 90844 and 90857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90844 and 90857.

How to find the GCF of 90844 and 90857?

We will first find the prime factorization of 90844 and 90857. After we will calculate the factors of 90844 and 90857 and find the biggest common factor number .

Step-1: Prime Factorization of 90844

Prime factors of 90844 are 2, 13, 1747. Prime factorization of 90844 in exponential form is:

90844 = 2² × 13¹ × 1747¹

Step-2: Prime Factorization of 90857

Prime factors of 90857 are 13, 29, 241. Prime factorization of 90857 in exponential form is:

90857 = 13¹ × 29¹ × 241¹

Step-3: Factors of 90844

List of positive integer factors of 90844 that divides 90844 without a remainder.

1, 2, 4, 13, 26, 52, 1747, 3494, 6988, 22711, 45422

Step-4: Factors of 90857

List of positive integer factors of 90857 that divides 90844 without a remainder.

1, 13, 29, 241, 377, 3133, 6989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90844 and 90857. The biggest common factor number is the GCF number.
So the greatest common factor 90844 and 90857 is 13.

Also check out the Least Common Multiple of 90844 and 90857