What is the Greatest Common Factor of 55808 and 55820?

Greatest common factor (GCF) of 55808 and 55820 is 4.

GCF(55808,55820) = 4

We will now calculate the prime factors of 55808 and 55820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55808 and 55820.

How to find the GCF of 55808 and 55820?

We will first find the prime factorization of 55808 and 55820. After we will calculate the factors of 55808 and 55820 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 55820

Prime factors of 55820 are 2, 5, 2791. Prime factorization of 55820 in exponential form is:

55820 = 2² × 5¹ × 2791¹

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 55820

List of positive integer factors of 55820 that divides 55808 without a remainder.

1, 2, 4, 5, 10, 20, 2791, 5582, 11164, 13955, 27910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55808 and 55820. The biggest common factor number is the GCF number.
So the greatest common factor 55808 and 55820 is 4.

Also check out the Least Common Multiple of 55808 and 55820