What is the Greatest Common Factor of 36010 and 36025?

Greatest common factor (GCF) of 36010 and 36025 is 5.

GCF(36010,36025) = 5

We will now calculate the prime factors of 36010 and 36025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36010 and 36025.

How to find the GCF of 36010 and 36025?

We will first find the prime factorization of 36010 and 36025. After we will calculate the factors of 36010 and 36025 and find the biggest common factor number .

Step-1: Prime Factorization of 36010

Prime factors of 36010 are 2, 5, 13, 277. Prime factorization of 36010 in exponential form is:

36010 = 2¹ × 5¹ × 13¹ × 277¹

Step-2: 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-3: Factors of 36010

List of positive integer factors of 36010 that divides 36010 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005

Step-4: Factors of 36025

List of positive integer factors of 36025 that divides 36010 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36010 and 36025. The biggest common factor number is the GCF number.
So the greatest common factor 36010 and 36025 is 5.

Also check out the Least Common Multiple of 36010 and 36025