What is the Greatest Common Factor of 9105 and 9125?

Greatest common factor (GCF) of 9105 and 9125 is 5.

GCF(9105,9125) = 5

We will now calculate the prime factors of 9105 and 9125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9105 and 9125.

How to find the GCF of 9105 and 9125?

We will first find the prime factorization of 9105 and 9125. After we will calculate the factors of 9105 and 9125 and find the biggest common factor number .

Step-1: Prime Factorization of 9105

Prime factors of 9105 are 3, 5, 607. Prime factorization of 9105 in exponential form is:

9105 = 3¹ × 5¹ × 607¹

Step-2: Prime Factorization of 9125

Prime factors of 9125 are 5, 73. Prime factorization of 9125 in exponential form is:

9125 = 5³ × 73¹

Step-3: Factors of 9105

List of positive integer factors of 9105 that divides 9105 without a remainder.

1, 3, 5, 15, 607, 1821, 3035

Step-4: Factors of 9125

List of positive integer factors of 9125 that divides 9105 without a remainder.

1, 5, 25, 73, 125, 365, 1825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9105 and 9125. The biggest common factor number is the GCF number.
So the greatest common factor 9105 and 9125 is 5.

Also check out the Least Common Multiple of 9105 and 9125