What is the Greatest Common Factor of 95025 and 95035?

Greatest common factor (GCF) of 95025 and 95035 is 5.

GCF(95025,95035) = 5

We will now calculate the prime factors of 95025 and 95035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95025 and 95035.

How to find the GCF of 95025 and 95035?

We will first find the prime factorization of 95025 and 95035. After we will calculate the factors of 95025 and 95035 and find the biggest common factor number .

Step-1: Prime Factorization of 95025

Prime factors of 95025 are 3, 5, 7, 181. Prime factorization of 95025 in exponential form is:

95025 = 3¹ × 5² × 7¹ × 181¹

Step-2: Prime Factorization of 95035

Prime factors of 95035 are 5, 83, 229. Prime factorization of 95035 in exponential form is:

95035 = 5¹ × 83¹ × 229¹

Step-3: Factors of 95025

List of positive integer factors of 95025 that divides 95025 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 181, 525, 543, 905, 1267, 2715, 3801, 4525, 6335, 13575, 19005, 31675

Step-4: Factors of 95035

List of positive integer factors of 95035 that divides 95025 without a remainder.

1, 5, 83, 229, 415, 1145, 19007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95025 and 95035. The biggest common factor number is the GCF number.
So the greatest common factor 95025 and 95035 is 5.

Also check out the Least Common Multiple of 95025 and 95035