What is the Greatest Common Factor of 54126 and 54135?

Greatest common factor (GCF) of 54126 and 54135 is 9.

GCF(54126,54135) = 9

We will now calculate the prime factors of 54126 and 54135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54126 and 54135.

How to find the GCF of 54126 and 54135?

We will first find the prime factorization of 54126 and 54135. After we will calculate the factors of 54126 and 54135 and find the biggest common factor number .

Step-1: Prime Factorization of 54126

Prime factors of 54126 are 2, 3, 31, 97. Prime factorization of 54126 in exponential form is:

54126 = 2¹ × 3² × 31¹ × 97¹

Step-2: Prime Factorization of 54135

Prime factors of 54135 are 3, 5, 401. Prime factorization of 54135 in exponential form is:

54135 = 3³ × 5¹ × 401¹

Step-3: Factors of 54126

List of positive integer factors of 54126 that divides 54126 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 97, 186, 194, 279, 291, 558, 582, 873, 1746, 3007, 6014, 9021, 18042, 27063

Step-4: Factors of 54135

List of positive integer factors of 54135 that divides 54126 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 401, 1203, 2005, 3609, 6015, 10827, 18045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54126 and 54135. The biggest common factor number is the GCF number.
So the greatest common factor 54126 and 54135 is 9.

Also check out the Least Common Multiple of 54126 and 54135