What is the Greatest Common Factor of 36010 and 36020?

Greatest common factor (GCF) of 36010 and 36020 is 10.

GCF(36010,36020) = 10

We will now calculate the prime factors of 36010 and 36020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36010 and 36020.

How to find the GCF of 36010 and 36020?

We will first find the prime factorization of 36010 and 36020. After we will calculate the factors of 36010 and 36020 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 36020

Prime factors of 36020 are 2, 5, 1801. Prime factorization of 36020 in exponential form is:

36020 = 2² × 5¹ × 1801¹

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 36020

List of positive integer factors of 36020 that divides 36010 without a remainder.

1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36010 and 36020. The biggest common factor number is the GCF number.
So the greatest common factor 36010 and 36020 is 10.

Also check out the Least Common Multiple of 36010 and 36020