What is the Greatest Common Factor of 55782 and 55798?

Greatest common factor (GCF) of 55782 and 55798 is 2.

GCF(55782,55798) = 2

We will now calculate the prime factors of 55782 and 55798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55782 and 55798.

How to find the GCF of 55782 and 55798?

We will first find the prime factorization of 55782 and 55798. After we will calculate the factors of 55782 and 55798 and find the biggest common factor number .

Step-1: Prime Factorization of 55782

Prime factors of 55782 are 2, 3, 1033. Prime factorization of 55782 in exponential form is:

55782 = 2¹ × 3³ × 1033¹

Step-2: Prime Factorization of 55798

Prime factors of 55798 are 2, 23, 1213. Prime factorization of 55798 in exponential form is:

55798 = 2¹ × 23¹ × 1213¹

Step-3: Factors of 55782

List of positive integer factors of 55782 that divides 55782 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1033, 2066, 3099, 6198, 9297, 18594, 27891

Step-4: Factors of 55798

List of positive integer factors of 55798 that divides 55782 without a remainder.

1, 2, 23, 46, 1213, 2426, 27899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55782 and 55798. The biggest common factor number is the GCF number.
So the greatest common factor 55782 and 55798 is 2.

Also check out the Least Common Multiple of 55782 and 55798