What is the Greatest Common Factor of 20042 and 20060?

Greatest common factor (GCF) of 20042 and 20060 is 2.

GCF(20042,20060) = 2

We will now calculate the prime factors of 20042 and 20060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20042 and 20060.

How to find the GCF of 20042 and 20060?

We will first find the prime factorization of 20042 and 20060. After we will calculate the factors of 20042 and 20060 and find the biggest common factor number .

Step-1: Prime Factorization of 20042

Prime factors of 20042 are 2, 11, 911. Prime factorization of 20042 in exponential form is:

20042 = 2¹ × 11¹ × 911¹

Step-2: Prime Factorization of 20060

Prime factors of 20060 are 2, 5, 17, 59. Prime factorization of 20060 in exponential form is:

20060 = 2² × 5¹ × 17¹ × 59¹

Step-3: Factors of 20042

List of positive integer factors of 20042 that divides 20042 without a remainder.

1, 2, 11, 22, 911, 1822, 10021

Step-4: Factors of 20060

List of positive integer factors of 20060 that divides 20042 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 59, 68, 85, 118, 170, 236, 295, 340, 590, 1003, 1180, 2006, 4012, 5015, 10030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20042 and 20060. The biggest common factor number is the GCF number.
So the greatest common factor 20042 and 20060 is 2.

Also check out the Least Common Multiple of 20042 and 20060