What is the Greatest Common Factor of 54105 and 54111?

Greatest common factor (GCF) of 54105 and 54111 is 3.

GCF(54105,54111) = 3

We will now calculate the prime factors of 54105 and 54111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54105 and 54111.

How to find the GCF of 54105 and 54111?

We will first find the prime factorization of 54105 and 54111. After we will calculate the factors of 54105 and 54111 and find the biggest common factor number .

Step-1: Prime Factorization of 54105

Prime factors of 54105 are 3, 5, 3607. Prime factorization of 54105 in exponential form is:

54105 = 3¹ × 5¹ × 3607¹

Step-2: Prime Factorization of 54111

Prime factors of 54111 are 3, 17, 1061. Prime factorization of 54111 in exponential form is:

54111 = 3¹ × 17¹ × 1061¹

Step-3: Factors of 54105

List of positive integer factors of 54105 that divides 54105 without a remainder.

1, 3, 5, 15, 3607, 10821, 18035

Step-4: Factors of 54111

List of positive integer factors of 54111 that divides 54105 without a remainder.

1, 3, 17, 51, 1061, 3183, 18037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54105 and 54111. The biggest common factor number is the GCF number.
So the greatest common factor 54105 and 54111 is 3.

Also check out the Least Common Multiple of 54105 and 54111