What is the Greatest Common Factor of 55905 and 55924?

Greatest common factor (GCF) of 55905 and 55924 is 1.

GCF(55905,55924) = 1

We will now calculate the prime factors of 55905 and 55924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55905 and 55924.

How to find the GCF of 55905 and 55924?

We will first find the prime factorization of 55905 and 55924. After we will calculate the factors of 55905 and 55924 and find the biggest common factor number .

Step-1: Prime Factorization of 55905

Prime factors of 55905 are 3, 5, 3727. Prime factorization of 55905 in exponential form is:

55905 = 3¹ × 5¹ × 3727¹

Step-2: Prime Factorization of 55924

Prime factors of 55924 are 2, 11, 31, 41. Prime factorization of 55924 in exponential form is:

55924 = 2² × 11¹ × 31¹ × 41¹

Step-3: Factors of 55905

List of positive integer factors of 55905 that divides 55905 without a remainder.

1, 3, 5, 15, 3727, 11181, 18635

Step-4: Factors of 55924

List of positive integer factors of 55924 that divides 55905 without a remainder.

1, 2, 4, 11, 22, 31, 41, 44, 62, 82, 124, 164, 341, 451, 682, 902, 1271, 1364, 1804, 2542, 5084, 13981, 27962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55905 and 55924. The biggest common factor number is the GCF number.
So the greatest common factor 55905 and 55924 is 1.

Also check out the Least Common Multiple of 55905 and 55924