What is the Greatest Common Factor of 55808 and 55822?

Greatest common factor (GCF) of 55808 and 55822 is 2.

GCF(55808,55822) = 2

We will now calculate the prime factors of 55808 and 55822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55808 and 55822.

How to find the GCF of 55808 and 55822?

We will first find the prime factorization of 55808 and 55822. After we will calculate the factors of 55808 and 55822 and find the biggest common factor number .

Step-1: Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 2⁹ × 109¹

Step-2: Prime Factorization of 55822

Prime factors of 55822 are 2, 13, 19, 113. Prime factorization of 55822 in exponential form is:

55822 = 2¹ × 13¹ × 19¹ × 113¹

Step-3: Factors of 55808

List of positive integer factors of 55808 that divides 55808 without a remainder.

1, 2, 4, 8, 16, 32, 64, 109, 128, 218, 256, 436, 512, 872, 1744, 3488, 6976, 13952, 27904

Step-4: Factors of 55822

List of positive integer factors of 55822 that divides 55808 without a remainder.

1, 2, 13, 19, 26, 38, 113, 226, 247, 494, 1469, 2147, 2938, 4294, 27911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55808 and 55822. The biggest common factor number is the GCF number.
So the greatest common factor 55808 and 55822 is 2.

Also check out the Least Common Multiple of 55808 and 55822