What is the Greatest Common Factor of 55872 and 55892?

Greatest common factor (GCF) of 55872 and 55892 is 4.

GCF(55872,55892) = 4

We will now calculate the prime factors of 55872 and 55892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55872 and 55892.

How to find the GCF of 55872 and 55892?

We will first find the prime factorization of 55872 and 55892. After we will calculate the factors of 55872 and 55892 and find the biggest common factor number .

Step-1: Prime Factorization of 55872

Prime factors of 55872 are 2, 3, 97. Prime factorization of 55872 in exponential form is:

55872 = 2⁶ × 3² × 97¹

Step-2: Prime Factorization of 55892

Prime factors of 55892 are 2, 89, 157. Prime factorization of 55892 in exponential form is:

55892 = 2² × 89¹ × 157¹

Step-3: Factors of 55872

List of positive integer factors of 55872 that divides 55872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 97, 144, 192, 194, 288, 291, 388, 576, 582, 776, 873, 1164, 1552, 1746, 2328, 3104, 3492, 4656, 6208, 6984, 9312, 13968, 18624, 27936

Step-4: Factors of 55892

List of positive integer factors of 55892 that divides 55872 without a remainder.

1, 2, 4, 89, 157, 178, 314, 356, 628, 13973, 27946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55872 and 55892. The biggest common factor number is the GCF number.
So the greatest common factor 55872 and 55892 is 4.

Also check out the Least Common Multiple of 55872 and 55892