What is the Greatest Common Factor of 54900 and 54915?

Greatest common factor (GCF) of 54900 and 54915 is 15.

GCF(54900,54915) = 15

We will now calculate the prime factors of 54900 and 54915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54915.

How to find the GCF of 54900 and 54915?

We will first find the prime factorization of 54900 and 54915. After we will calculate the factors of 54900 and 54915 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 54915

Prime factors of 54915 are 3, 5, 7, 523. Prime factorization of 54915 in exponential form is:

54915 = 3¹ × 5¹ × 7¹ × 523¹

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 54915

List of positive integer factors of 54915 that divides 54900 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 523, 1569, 2615, 3661, 7845, 10983, 18305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54915. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54915 is 15.

Also check out the Least Common Multiple of 54900 and 54915