What is the Greatest Common Factor of 25065 and 25075?

Greatest common factor (GCF) of 25065 and 25075 is 5.

GCF(25065,25075) = 5

We will now calculate the prime factors of 25065 and 25075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25065 and 25075.

How to find the GCF of 25065 and 25075?

We will first find the prime factorization of 25065 and 25075. After we will calculate the factors of 25065 and 25075 and find the biggest common factor number .

Step-1: Prime Factorization of 25065

Prime factors of 25065 are 3, 5, 557. Prime factorization of 25065 in exponential form is:

25065 = 3² × 5¹ × 557¹

Step-2: Prime Factorization of 25075

Prime factors of 25075 are 5, 17, 59. Prime factorization of 25075 in exponential form is:

25075 = 5² × 17¹ × 59¹

Step-3: Factors of 25065

List of positive integer factors of 25065 that divides 25065 without a remainder.

1, 3, 5, 9, 15, 45, 557, 1671, 2785, 5013, 8355

Step-4: Factors of 25075

List of positive integer factors of 25075 that divides 25065 without a remainder.

1, 5, 17, 25, 59, 85, 295, 425, 1003, 1475, 5015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25065 and 25075. The biggest common factor number is the GCF number.
So the greatest common factor 25065 and 25075 is 5.

Also check out the Least Common Multiple of 25065 and 25075