What is the Greatest Common Factor of 66025 and 66035?

Greatest common factor (GCF) of 66025 and 66035 is 5.

GCF(66025,66035) = 5

We will now calculate the prime factors of 66025 and 66035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66025 and 66035.

How to find the GCF of 66025 and 66035?

We will first find the prime factorization of 66025 and 66035. After we will calculate the factors of 66025 and 66035 and find the biggest common factor number .

Step-1: Prime Factorization of 66025

Prime factors of 66025 are 5, 19, 139. Prime factorization of 66025 in exponential form is:

66025 = 5² × 19¹ × 139¹

Step-2: Prime Factorization of 66035

Prime factors of 66035 are 5, 47, 281. Prime factorization of 66035 in exponential form is:

66035 = 5¹ × 47¹ × 281¹

Step-3: Factors of 66025

List of positive integer factors of 66025 that divides 66025 without a remainder.

1, 5, 19, 25, 95, 139, 475, 695, 2641, 3475, 13205

Step-4: Factors of 66035

List of positive integer factors of 66035 that divides 66025 without a remainder.

1, 5, 47, 235, 281, 1405, 13207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66025 and 66035. The biggest common factor number is the GCF number.
So the greatest common factor 66025 and 66035 is 5.

Also check out the Least Common Multiple of 66025 and 66035