What is the Greatest Common Factor of 90798 and 90806?

Greatest common factor (GCF) of 90798 and 90806 is 2.

GCF(90798,90806) = 2

We will now calculate the prime factors of 90798 and 90806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90798 and 90806.

How to find the GCF of 90798 and 90806?

We will first find the prime factorization of 90798 and 90806. After we will calculate the factors of 90798 and 90806 and find the biggest common factor number .

Step-1: Prime Factorization of 90798

Prime factors of 90798 are 2, 3, 37, 409. Prime factorization of 90798 in exponential form is:

90798 = 2¹ × 3¹ × 37¹ × 409¹

Step-2: Prime Factorization of 90806

Prime factors of 90806 are 2, 45403. Prime factorization of 90806 in exponential form is:

90806 = 2¹ × 45403¹

Step-3: Factors of 90798

List of positive integer factors of 90798 that divides 90798 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 409, 818, 1227, 2454, 15133, 30266, 45399

Step-4: Factors of 90806

List of positive integer factors of 90806 that divides 90798 without a remainder.

1, 2, 45403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90798 and 90806. The biggest common factor number is the GCF number.
So the greatest common factor 90798 and 90806 is 2.

Also check out the Least Common Multiple of 90798 and 90806