What is the Greatest Common Factor of 54090 and 54100?

Greatest common factor (GCF) of 54090 and 54100 is 10.

GCF(54090,54100) = 10

We will now calculate the prime factors of 54090 and 54100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54090 and 54100.

How to find the GCF of 54090 and 54100?

We will first find the prime factorization of 54090 and 54100. After we will calculate the factors of 54090 and 54100 and find the biggest common factor number .

Step-1: Prime Factorization of 54090

Prime factors of 54090 are 2, 3, 5, 601. Prime factorization of 54090 in exponential form is:

54090 = 2¹ × 3² × 5¹ × 601¹

Step-2: Prime Factorization of 54100

Prime factors of 54100 are 2, 5, 541. Prime factorization of 54100 in exponential form is:

54100 = 2² × 5² × 541¹

Step-3: Factors of 54090

List of positive integer factors of 54090 that divides 54090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 601, 1202, 1803, 3005, 3606, 5409, 6010, 9015, 10818, 18030, 27045

Step-4: Factors of 54100

List of positive integer factors of 54100 that divides 54090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 541, 1082, 2164, 2705, 5410, 10820, 13525, 27050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54090 and 54100. The biggest common factor number is the GCF number.
So the greatest common factor 54090 and 54100 is 10.

Also check out the Least Common Multiple of 54090 and 54100