What is the Greatest Common Factor of 54075 and 54086?

Greatest common factor (GCF) of 54075 and 54086 is 1.

GCF(54075,54086) = 1

We will now calculate the prime factors of 54075 and 54086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54075 and 54086.

How to find the GCF of 54075 and 54086?

We will first find the prime factorization of 54075 and 54086. After we will calculate the factors of 54075 and 54086 and find the biggest common factor number .

Step-1: Prime Factorization of 54075

Prime factors of 54075 are 3, 5, 7, 103. Prime factorization of 54075 in exponential form is:

54075 = 3¹ × 5² × 7¹ × 103¹

Step-2: Prime Factorization of 54086

Prime factors of 54086 are 2, 27043. Prime factorization of 54086 in exponential form is:

54086 = 2¹ × 27043¹

Step-3: Factors of 54075

List of positive integer factors of 54075 that divides 54075 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 103, 105, 175, 309, 515, 525, 721, 1545, 2163, 2575, 3605, 7725, 10815, 18025

Step-4: Factors of 54086

List of positive integer factors of 54086 that divides 54075 without a remainder.

1, 2, 27043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54075 and 54086. The biggest common factor number is the GCF number.
So the greatest common factor 54075 and 54086 is 1.

Also check out the Least Common Multiple of 54075 and 54086