What is the Greatest Common Factor of 54105 and 54122?

Greatest common factor (GCF) of 54105 and 54122 is 1.

GCF(54105,54122) = 1

We will now calculate the prime factors of 54105 and 54122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54105 and 54122.

How to find the GCF of 54105 and 54122?

We will first find the prime factorization of 54105 and 54122. After we will calculate the factors of 54105 and 54122 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 54122

Prime factors of 54122 are 2, 27061. Prime factorization of 54122 in exponential form is:

54122 = 2¹ × 27061¹

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 54122

List of positive integer factors of 54122 that divides 54105 without a remainder.

1, 2, 27061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54105 and 54122. The biggest common factor number is the GCF number.
So the greatest common factor 54105 and 54122 is 1.

Also check out the Least Common Multiple of 54105 and 54122