What is the Greatest Common Factor of 10020 and 10035?

Greatest common factor (GCF) of 10020 and 10035 is 15.

GCF(10020,10035) = 15

We will now calculate the prime factors of 10020 and 10035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10020 and 10035.

How to find the GCF of 10020 and 10035?

We will first find the prime factorization of 10020 and 10035. After we will calculate the factors of 10020 and 10035 and find the biggest common factor number .

Step-1: Prime Factorization of 10020

Prime factors of 10020 are 2, 3, 5, 167. Prime factorization of 10020 in exponential form is:

10020 = 2² × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 10035

Prime factors of 10035 are 3, 5, 223. Prime factorization of 10035 in exponential form is:

10035 = 3² × 5¹ × 223¹

Step-3: Factors of 10020

List of positive integer factors of 10020 that divides 10020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 167, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 5010

Step-4: Factors of 10035

List of positive integer factors of 10035 that divides 10020 without a remainder.

1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10020 and 10035. The biggest common factor number is the GCF number.
So the greatest common factor 10020 and 10035 is 15.

Also check out the Least Common Multiple of 10020 and 10035