What is the Greatest Common Factor of 55808 and 55814?

Greatest common factor (GCF) of 55808 and 55814 is 2.

GCF(55808,55814) = 2

We will now calculate the prime factors of 55808 and 55814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55808 and 55814.

How to find the GCF of 55808 and 55814?

We will first find the prime factorization of 55808 and 55814. After we will calculate the factors of 55808 and 55814 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 55814

Prime factors of 55814 are 2, 11, 43, 59. Prime factorization of 55814 in exponential form is:

55814 = 2¹ × 11¹ × 43¹ × 59¹

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 55814

List of positive integer factors of 55814 that divides 55808 without a remainder.

1, 2, 11, 22, 43, 59, 86, 118, 473, 649, 946, 1298, 2537, 5074, 27907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55808 and 55814. The biggest common factor number is the GCF number.
So the greatest common factor 55808 and 55814 is 2.

Also check out the Least Common Multiple of 55808 and 55814