What is the Greatest Common Factor of 90827 and 90838?

Greatest common factor (GCF) of 90827 and 90838 is 11.

GCF(90827,90838) = 11

We will now calculate the prime factors of 90827 and 90838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90827 and 90838.

How to find the GCF of 90827 and 90838?

We will first find the prime factorization of 90827 and 90838. After we will calculate the factors of 90827 and 90838 and find the biggest common factor number .

Step-1: Prime Factorization of 90827

Prime factors of 90827 are 11, 23, 359. Prime factorization of 90827 in exponential form is:

90827 = 11¹ × 23¹ × 359¹

Step-2: 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-3: Factors of 90827

List of positive integer factors of 90827 that divides 90827 without a remainder.

1, 11, 23, 253, 359, 3949, 8257

Step-4: Factors of 90838

List of positive integer factors of 90838 that divides 90827 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90827 and 90838. The biggest common factor number is the GCF number.
So the greatest common factor 90827 and 90838 is 11.

Also check out the Least Common Multiple of 90827 and 90838