What is the Greatest Common Factor of 54900 and 54911?

Greatest common factor (GCF) of 54900 and 54911 is 1.

GCF(54900,54911) = 1

We will now calculate the prime factors of 54900 and 54911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54911.

How to find the GCF of 54900 and 54911?

We will first find the prime factorization of 54900 and 54911. After we will calculate the factors of 54900 and 54911 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 54911

Prime factors of 54911 are 43, 1277. Prime factorization of 54911 in exponential form is:

54911 = 43¹ × 1277¹

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 54911

List of positive integer factors of 54911 that divides 54900 without a remainder.

1, 43, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54911. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54911 is 1.

Also check out the Least Common Multiple of 54900 and 54911