What is the Greatest Common Factor of 55896 and 55905?

Greatest common factor (GCF) of 55896 and 55905 is 3.

GCF(55896,55905) = 3

We will now calculate the prime factors of 55896 and 55905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55896 and 55905.

How to find the GCF of 55896 and 55905?

We will first find the prime factorization of 55896 and 55905. After we will calculate the factors of 55896 and 55905 and find the biggest common factor number .

Step-1: Prime Factorization of 55896

Prime factors of 55896 are 2, 3, 17, 137. Prime factorization of 55896 in exponential form is:

55896 = 2³ × 3¹ × 17¹ × 137¹

Step-2: 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-3: Factors of 55896

List of positive integer factors of 55896 that divides 55896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 137, 204, 274, 408, 411, 548, 822, 1096, 1644, 2329, 3288, 4658, 6987, 9316, 13974, 18632, 27948

Step-4: Factors of 55905

List of positive integer factors of 55905 that divides 55896 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55896 and 55905. The biggest common factor number is the GCF number.
So the greatest common factor 55896 and 55905 is 3.

Also check out the Least Common Multiple of 55896 and 55905