What is the Greatest Common Factor of 90854 and 90872?

Greatest common factor (GCF) of 90854 and 90872 is 2.

GCF(90854,90872) = 2

We will now calculate the prime factors of 90854 and 90872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90854 and 90872.

How to find the GCF of 90854 and 90872?

We will first find the prime factorization of 90854 and 90872. After we will calculate the factors of 90854 and 90872 and find the biggest common factor number .

Step-1: Prime Factorization of 90854

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

90854 = 2¹ × 45427¹

Step-2: Prime Factorization of 90872

Prime factors of 90872 are 2, 37, 307. Prime factorization of 90872 in exponential form is:

90872 = 2³ × 37¹ × 307¹

Step-3: Factors of 90854

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

1, 2, 45427

Step-4: Factors of 90872

List of positive integer factors of 90872 that divides 90854 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 307, 614, 1228, 2456, 11359, 22718, 45436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90854 and 90872. The biggest common factor number is the GCF number.
So the greatest common factor 90854 and 90872 is 2.

Also check out the Least Common Multiple of 90854 and 90872