What is the Greatest Common Factor of 90848 and 90854?

Greatest common factor (GCF) of 90848 and 90854 is 2.

GCF(90848,90854) = 2

We will now calculate the prime factors of 90848 and 90854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90848 and 90854.

How to find the GCF of 90848 and 90854?

We will first find the prime factorization of 90848 and 90854. After we will calculate the factors of 90848 and 90854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90854

Prime factors of 90854 are 2, 45427. Prime factorization of 90854 in exponential form is:

90854 = 2¹ × 45427¹

Step-3: Factors of 90848

List of positive integer factors of 90848 that divides 90848 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

Step-4: Factors of 90854

List of positive integer factors of 90854 that divides 90848 without a remainder.

1, 2, 45427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90848 and 90854. The biggest common factor number is the GCF number.
So the greatest common factor 90848 and 90854 is 2.

Also check out the Least Common Multiple of 90848 and 90854