What is the Greatest Common Factor of 66109 and 66125?

Greatest common factor (GCF) of 66109 and 66125 is 1.

GCF(66109,66125) = 1

We will now calculate the prime factors of 66109 and 66125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66109 and 66125.

How to find the GCF of 66109 and 66125?

We will first find the prime factorization of 66109 and 66125. After we will calculate the factors of 66109 and 66125 and find the biggest common factor number .

Step-1: Prime Factorization of 66109

Prime factors of 66109 are 66109. Prime factorization of 66109 in exponential form is:

66109 = 66109¹

Step-2: Prime Factorization of 66125

Prime factors of 66125 are 5, 23. Prime factorization of 66125 in exponential form is:

66125 = 5³ × 23²

Step-3: Factors of 66109

List of positive integer factors of 66109 that divides 66109 without a remainder.

Step-4: Factors of 66125

List of positive integer factors of 66125 that divides 66109 without a remainder.

1, 5, 23, 25, 115, 125, 529, 575, 2645, 2875, 13225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66109 and 66125. The biggest common factor number is the GCF number.
So the greatest common factor 66109 and 66125 is 1.

Also check out the Least Common Multiple of 66109 and 66125