What is the Greatest Common Factor of 20120 and 20131?

Greatest common factor (GCF) of 20120 and 20131 is 1.

GCF(20120,20131) = 1

We will now calculate the prime factors of 20120 and 20131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20120 and 20131.

How to find the GCF of 20120 and 20131?

We will first find the prime factorization of 20120 and 20131. After we will calculate the factors of 20120 and 20131 and find the biggest common factor number .

Step-1: Prime Factorization of 20120

Prime factors of 20120 are 2, 5, 503. Prime factorization of 20120 in exponential form is:

20120 = 2³ × 5¹ × 503¹

Step-2: Prime Factorization of 20131

Prime factors of 20131 are 41, 491. Prime factorization of 20131 in exponential form is:

20131 = 41¹ × 491¹

Step-3: Factors of 20120

List of positive integer factors of 20120 that divides 20120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 503, 1006, 2012, 2515, 4024, 5030, 10060

Step-4: Factors of 20131

List of positive integer factors of 20131 that divides 20120 without a remainder.

1, 41, 491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20120 and 20131. The biggest common factor number is the GCF number.
So the greatest common factor 20120 and 20131 is 1.

Also check out the Least Common Multiple of 20120 and 20131