What is the Greatest Common Factor of 54900 and 54913?

Greatest common factor (GCF) of 54900 and 54913 is 1.

GCF(54900,54913) = 1

We will now calculate the prime factors of 54900 and 54913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54913.

How to find the GCF of 54900 and 54913?

We will first find the prime factorization of 54900 and 54913. After we will calculate the factors of 54900 and 54913 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 54913

Prime factors of 54913 are 89, 617. Prime factorization of 54913 in exponential form is:

54913 = 89¹ × 617¹

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 54913

List of positive integer factors of 54913 that divides 54900 without a remainder.

1, 89, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54913. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54913 is 1.

Also check out the Least Common Multiple of 54900 and 54913