What is the Greatest Common Factor of 55896 and 55914?

Greatest common factor (GCF) of 55896 and 55914 is 6.

GCF(55896,55914) = 6

We will now calculate the prime factors of 55896 and 55914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55896 and 55914.

How to find the GCF of 55896 and 55914?

We will first find the prime factorization of 55896 and 55914. After we will calculate the factors of 55896 and 55914 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 55914

Prime factors of 55914 are 2, 3, 9319. Prime factorization of 55914 in exponential form is:

55914 = 2¹ × 3¹ × 9319¹

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 55914

List of positive integer factors of 55914 that divides 55896 without a remainder.

1, 2, 3, 6, 9319, 18638, 27957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55896 and 55914. The biggest common factor number is the GCF number.
So the greatest common factor 55896 and 55914 is 6.

Also check out the Least Common Multiple of 55896 and 55914