What is the Greatest Common Factor of 54075 and 54089?

Greatest common factor (GCF) of 54075 and 54089 is 7.

GCF(54075,54089) = 7

We will now calculate the prime factors of 54075 and 54089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54075 and 54089.

How to find the GCF of 54075 and 54089?

We will first find the prime factorization of 54075 and 54089. After we will calculate the factors of 54075 and 54089 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 54089

Prime factors of 54089 are 7, 7727. Prime factorization of 54089 in exponential form is:

54089 = 7¹ × 7727¹

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 54089

List of positive integer factors of 54089 that divides 54075 without a remainder.

1, 7, 7727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54075 and 54089. The biggest common factor number is the GCF number.
So the greatest common factor 54075 and 54089 is 7.

Also check out the Least Common Multiple of 54075 and 54089