What is the Greatest Common Factor of 90838 and 90848?

Greatest common factor (GCF) of 90838 and 90848 is 2.

GCF(90838,90848) = 2

We will now calculate the prime factors of 90838 and 90848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90838 and 90848.

How to find the GCF of 90838 and 90848?

We will first find the prime factorization of 90838 and 90848. After we will calculate the factors of 90838 and 90848 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 90848

Prime factors of 90848 are 2, 17, 167. Prime factorization of 90848 in exponential form is:

90848 = 2⁵ × 17¹ × 167¹

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 90848

List of positive integer factors of 90848 that divides 90838 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 167, 272, 334, 544, 668, 1336, 2672, 2839, 5344, 5678, 11356, 22712, 45424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90838 and 90848. The biggest common factor number is the GCF number.
So the greatest common factor 90838 and 90848 is 2.

Also check out the Least Common Multiple of 90838 and 90848