What is the Greatest Common Factor of 55896 and 55916?

Greatest common factor (GCF) of 55896 and 55916 is 4.

GCF(55896,55916) = 4

We will now calculate the prime factors of 55896 and 55916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55896 and 55916.

How to find the GCF of 55896 and 55916?

We will first find the prime factorization of 55896 and 55916. After we will calculate the factors of 55896 and 55916 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 55916

Prime factors of 55916 are 2, 7, 1997. Prime factorization of 55916 in exponential form is:

55916 = 2² × 7¹ × 1997¹

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 55916

List of positive integer factors of 55916 that divides 55896 without a remainder.

1, 2, 4, 7, 14, 28, 1997, 3994, 7988, 13979, 27958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55896 and 55916. The biggest common factor number is the GCF number.
So the greatest common factor 55896 and 55916 is 4.

Also check out the Least Common Multiple of 55896 and 55916