What is the Greatest Common Factor of 54075 and 54085?

Greatest common factor (GCF) of 54075 and 54085 is 5.

GCF(54075,54085) = 5

We will now calculate the prime factors of 54075 and 54085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54075 and 54085.

How to find the GCF of 54075 and 54085?

We will first find the prime factorization of 54075 and 54085. After we will calculate the factors of 54075 and 54085 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 54085

Prime factors of 54085 are 5, 29, 373. Prime factorization of 54085 in exponential form is:

54085 = 5¹ × 29¹ × 373¹

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 54085

List of positive integer factors of 54085 that divides 54075 without a remainder.

1, 5, 29, 145, 373, 1865, 10817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54075 and 54085. The biggest common factor number is the GCF number.
So the greatest common factor 54075 and 54085 is 5.

Also check out the Least Common Multiple of 54075 and 54085