What is the Greatest Common Factor of 36025 and 36035?

Greatest common factor (GCF) of 36025 and 36035 is 5.

GCF(36025,36035) = 5

We will now calculate the prime factors of 36025 and 36035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36025 and 36035.

How to find the GCF of 36025 and 36035?

We will first find the prime factorization of 36025 and 36035. After we will calculate the factors of 36025 and 36035 and find the biggest common factor number .

Step-1: Prime Factorization of 36025

Prime factors of 36025 are 5, 11, 131. Prime factorization of 36025 in exponential form is:

36025 = 5² × 11¹ × 131¹

Step-2: Prime Factorization of 36035

Prime factors of 36035 are 5, 7207. Prime factorization of 36035 in exponential form is:

36035 = 5¹ × 7207¹

Step-3: Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205

Step-4: Factors of 36035

List of positive integer factors of 36035 that divides 36025 without a remainder.

1, 5, 7207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36025 and 36035. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36035 is 5.

Also check out the Least Common Multiple of 36025 and 36035