What is the Greatest Common Factor of 20010 and 20030?

Greatest common factor (GCF) of 20010 and 20030 is 10.

GCF(20010,20030) = 10

We will now calculate the prime factors of 20010 and 20030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20010 and 20030.

How to find the GCF of 20010 and 20030?

We will first find the prime factorization of 20010 and 20030. After we will calculate the factors of 20010 and 20030 and find the biggest common factor number .

Step-1: Prime Factorization of 20010

Prime factors of 20010 are 2, 3, 5, 23, 29. Prime factorization of 20010 in exponential form is:

20010 = 2¹ × 3¹ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 20030

Prime factors of 20030 are 2, 5, 2003. Prime factorization of 20030 in exponential form is:

20030 = 2¹ × 5¹ × 2003¹

Step-3: Factors of 20010

List of positive integer factors of 20010 that divides 20010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 29, 30, 46, 58, 69, 87, 115, 138, 145, 174, 230, 290, 345, 435, 667, 690, 870, 1334, 2001, 3335, 4002, 6670, 10005

Step-4: Factors of 20030

List of positive integer factors of 20030 that divides 20010 without a remainder.

1, 2, 5, 10, 2003, 4006, 10015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20010 and 20030. The biggest common factor number is the GCF number.
So the greatest common factor 20010 and 20030 is 10.

Also check out the Least Common Multiple of 20010 and 20030