What is the Greatest Common Factor of 90838 and 90856?

Greatest common factor (GCF) of 90838 and 90856 is 2.

GCF(90838,90856) = 2

We will now calculate the prime factors of 90838 and 90856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90838 and 90856.

How to find the GCF of 90838 and 90856?

We will first find the prime factorization of 90838 and 90856. After we will calculate the factors of 90838 and 90856 and find the biggest common factor number .

Step-1: Prime Factorization of 90838

Prime factors of 90838 are 2, 11, 4129. Prime factorization of 90838 in exponential form is:

90838 = 2¹ × 11¹ × 4129¹

Step-2: Prime Factorization of 90856

Prime factors of 90856 are 2, 41, 277. Prime factorization of 90856 in exponential form is:

90856 = 2³ × 41¹ × 277¹

Step-3: Factors of 90838

List of positive integer factors of 90838 that divides 90838 without a remainder.

1, 2, 11, 22, 4129, 8258, 45419

Step-4: Factors of 90856

List of positive integer factors of 90856 that divides 90838 without a remainder.

1, 2, 4, 8, 41, 82, 164, 277, 328, 554, 1108, 2216, 11357, 22714, 45428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90838 and 90856. The biggest common factor number is the GCF number.
So the greatest common factor 90838 and 90856 is 2.

Also check out the Least Common Multiple of 90838 and 90856