What is the Greatest Common Factor of 54894 and 54900?

Greatest common factor (GCF) of 54894 and 54900 is 6.

GCF(54894,54900) = 6

We will now calculate the prime factors of 54894 and 54900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54894 and 54900.

How to find the GCF of 54894 and 54900?

We will first find the prime factorization of 54894 and 54900. After we will calculate the factors of 54894 and 54900 and find the biggest common factor number .

Step-1: Prime Factorization of 54894

Prime factors of 54894 are 2, 3, 7, 1307. Prime factorization of 54894 in exponential form is:

54894 = 2¹ × 3¹ × 7¹ × 1307¹

Step-2: 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-3: Factors of 54894

List of positive integer factors of 54894 that divides 54894 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1307, 2614, 3921, 7842, 9149, 18298, 27447

Step-4: Factors of 54900

List of positive integer factors of 54900 that divides 54894 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54894 and 54900. The biggest common factor number is the GCF number.
So the greatest common factor 54894 and 54900 is 6.

Also check out the Least Common Multiple of 54894 and 54900