What is the Greatest Common Factor of 54900 and 54906?

Greatest common factor (GCF) of 54900 and 54906 is 6.

GCF(54900,54906) = 6

We will now calculate the prime factors of 54900 and 54906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54906.

How to find the GCF of 54900 and 54906?

We will first find the prime factorization of 54900 and 54906. After we will calculate the factors of 54900 and 54906 and find the biggest common factor number .

Step-1: Prime Factorization of 54900

Prime factors of 54900 are 2, 3, 5, 61. Prime factorization of 54900 in exponential form is:

54900 = 2² × 3² × 5² × 61¹

Step-2: Prime Factorization of 54906

Prime factors of 54906 are 2, 3, 9151. Prime factorization of 54906 in exponential form is:

54906 = 2¹ × 3¹ × 9151¹

Step-3: Factors of 54900

List of positive integer factors of 54900 that divides 54900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 61, 75, 90, 100, 122, 150, 180, 183, 225, 244, 300, 305, 366, 450, 549, 610, 732, 900, 915, 1098, 1220, 1525, 1830, 2196, 2745, 3050, 3660, 4575, 5490, 6100, 9150, 10980, 13725, 18300, 27450

Step-4: Factors of 54906

List of positive integer factors of 54906 that divides 54900 without a remainder.

1, 2, 3, 6, 9151, 18302, 27453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54906. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54906 is 6.

Also check out the Least Common Multiple of 54900 and 54906