What is the Greatest Common Factor of 20013 and 20031?

Greatest common factor (GCF) of 20013 and 20031 is 3.

GCF(20013,20031) = 3

We will now calculate the prime factors of 20013 and 20031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20013 and 20031.

How to find the GCF of 20013 and 20031?

We will first find the prime factorization of 20013 and 20031. After we will calculate the factors of 20013 and 20031 and find the biggest common factor number .

Step-1: Prime Factorization of 20013

Prime factors of 20013 are 3, 7, 953. Prime factorization of 20013 in exponential form is:

20013 = 3¹ × 7¹ × 953¹

Step-2: Prime Factorization of 20031

Prime factors of 20031 are 3, 11, 607. Prime factorization of 20031 in exponential form is:

20031 = 3¹ × 11¹ × 607¹

Step-3: Factors of 20013

List of positive integer factors of 20013 that divides 20013 without a remainder.

1, 3, 7, 21, 953, 2859, 6671

Step-4: Factors of 20031

List of positive integer factors of 20031 that divides 20013 without a remainder.

1, 3, 11, 33, 607, 1821, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20013 and 20031. The biggest common factor number is the GCF number.
So the greatest common factor 20013 and 20031 is 3.

Also check out the Least Common Multiple of 20013 and 20031