What is the Greatest Common Factor of 20042 and 20053?

Greatest common factor (GCF) of 20042 and 20053 is 11.

GCF(20042,20053) = 11

We will now calculate the prime factors of 20042 and 20053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20042 and 20053.

How to find the GCF of 20042 and 20053?

We will first find the prime factorization of 20042 and 20053. After we will calculate the factors of 20042 and 20053 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 20053

Prime factors of 20053 are 11, 1823. Prime factorization of 20053 in exponential form is:

20053 = 11¹ × 1823¹

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 20053

List of positive integer factors of 20053 that divides 20042 without a remainder.

1, 11, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20042 and 20053. The biggest common factor number is the GCF number.
So the greatest common factor 20042 and 20053 is 11.

Also check out the Least Common Multiple of 20042 and 20053