What is the Greatest Common Factor of 20130 and 20141?

Greatest common factor (GCF) of 20130 and 20141 is 11.

GCF(20130,20141) = 11

We will now calculate the prime factors of 20130 and 20141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20130 and 20141.

How to find the GCF of 20130 and 20141?

We will first find the prime factorization of 20130 and 20141. After we will calculate the factors of 20130 and 20141 and find the biggest common factor number .

Step-1: Prime Factorization of 20130

Prime factors of 20130 are 2, 3, 5, 11, 61. Prime factorization of 20130 in exponential form is:

20130 = 2¹ × 3¹ × 5¹ × 11¹ × 61¹

Step-2: Prime Factorization of 20141

Prime factors of 20141 are 11, 1831. Prime factorization of 20141 in exponential form is:

20141 = 11¹ × 1831¹

Step-3: Factors of 20130

List of positive integer factors of 20130 that divides 20130 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 61, 66, 110, 122, 165, 183, 305, 330, 366, 610, 671, 915, 1342, 1830, 2013, 3355, 4026, 6710, 10065

Step-4: Factors of 20141

List of positive integer factors of 20141 that divides 20130 without a remainder.

1, 11, 1831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20130 and 20141. The biggest common factor number is the GCF number.
So the greatest common factor 20130 and 20141 is 11.

Also check out the Least Common Multiple of 20130 and 20141