What is the Greatest Common Factor of 54900 and 54909?

Greatest common factor (GCF) of 54900 and 54909 is 9.

GCF(54900,54909) = 9

We will now calculate the prime factors of 54900 and 54909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54909.

How to find the GCF of 54900 and 54909?

We will first find the prime factorization of 54900 and 54909. After we will calculate the factors of 54900 and 54909 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 54909

Prime factors of 54909 are 3, 6101. Prime factorization of 54909 in exponential form is:

54909 = 3² × 6101¹

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 54909

List of positive integer factors of 54909 that divides 54900 without a remainder.

1, 3, 9, 6101, 18303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54909. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54909 is 9.

Also check out the Least Common Multiple of 54900 and 54909