What is the Greatest Common Factor of 20010 and 20029?

Greatest common factor (GCF) of 20010 and 20029 is 1.

GCF(20010,20029) = 1

We will now calculate the prime factors of 20010 and 20029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20010 and 20029.

How to find the GCF of 20010 and 20029?

We will first find the prime factorization of 20010 and 20029. After we will calculate the factors of 20010 and 20029 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 20029

Prime factors of 20029 are 20029. Prime factorization of 20029 in exponential form is:

20029 = 20029¹

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 20029

List of positive integer factors of 20029 that divides 20010 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20010 and 20029. The biggest common factor number is the GCF number.
So the greatest common factor 20010 and 20029 is 1.

Also check out the Least Common Multiple of 20010 and 20029