What is the Greatest Common Factor of 54900 and 54920?

Greatest common factor (GCF) of 54900 and 54920 is 20.

GCF(54900,54920) = 20

We will now calculate the prime factors of 54900 and 54920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54900 and 54920.

How to find the GCF of 54900 and 54920?

We will first find the prime factorization of 54900 and 54920. After we will calculate the factors of 54900 and 54920 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 54920

Prime factors of 54920 are 2, 5, 1373. Prime factorization of 54920 in exponential form is:

54920 = 2³ × 5¹ × 1373¹

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 54920

List of positive integer factors of 54920 that divides 54900 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1373, 2746, 5492, 6865, 10984, 13730, 27460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54900 and 54920. The biggest common factor number is the GCF number.
So the greatest common factor 54900 and 54920 is 20.

Also check out the Least Common Multiple of 54900 and 54920