What is the Greatest Common Factor of 20120 and 20138?

Greatest common factor (GCF) of 20120 and 20138 is 2.

GCF(20120,20138) = 2

We will now calculate the prime factors of 20120 and 20138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20120 and 20138.

How to find the GCF of 20120 and 20138?

We will first find the prime factorization of 20120 and 20138. After we will calculate the factors of 20120 and 20138 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 20138

Prime factors of 20138 are 2, 10069. Prime factorization of 20138 in exponential form is:

20138 = 2¹ × 10069¹

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 20138

List of positive integer factors of 20138 that divides 20120 without a remainder.

1, 2, 10069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20120 and 20138. The biggest common factor number is the GCF number.
So the greatest common factor 20120 and 20138 is 2.

Also check out the Least Common Multiple of 20120 and 20138