What is the Greatest Common Factor of 20005 and 20022?

Greatest common factor (GCF) of 20005 and 20022 is 1.

GCF(20005,20022) = 1

We will now calculate the prime factors of 20005 and 20022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20005 and 20022.

How to find the GCF of 20005 and 20022?

We will first find the prime factorization of 20005 and 20022. After we will calculate the factors of 20005 and 20022 and find the biggest common factor number .

Step-1: Prime Factorization of 20005

Prime factors of 20005 are 5, 4001. Prime factorization of 20005 in exponential form is:

20005 = 5¹ × 4001¹

Step-2: Prime Factorization of 20022

Prime factors of 20022 are 2, 3, 47, 71. Prime factorization of 20022 in exponential form is:

20022 = 2¹ × 3¹ × 47¹ × 71¹

Step-3: Factors of 20005

List of positive integer factors of 20005 that divides 20005 without a remainder.

1, 5, 4001

Step-4: Factors of 20022

List of positive integer factors of 20022 that divides 20005 without a remainder.

1, 2, 3, 6, 47, 71, 94, 141, 142, 213, 282, 426, 3337, 6674, 10011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20005 and 20022. The biggest common factor number is the GCF number.
So the greatest common factor 20005 and 20022 is 1.

Also check out the Least Common Multiple of 20005 and 20022