What is the Greatest Common Factor of 55798 and 55816?

Greatest common factor (GCF) of 55798 and 55816 is 2.

GCF(55798,55816) = 2

We will now calculate the prime factors of 55798 and 55816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55798 and 55816.

How to find the GCF of 55798 and 55816?

We will first find the prime factorization of 55798 and 55816. After we will calculate the factors of 55798 and 55816 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55816

Prime factors of 55816 are 2, 6977. Prime factorization of 55816 in exponential form is:

55816 = 2³ × 6977¹

Step-3: Factors of 55798

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

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

Step-4: Factors of 55816

List of positive integer factors of 55816 that divides 55798 without a remainder.

1, 2, 4, 8, 6977, 13954, 27908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55798 and 55816. The biggest common factor number is the GCF number.
So the greatest common factor 55798 and 55816 is 2.

Also check out the Least Common Multiple of 55798 and 55816