What is the Greatest Common Factor of 20110 and 20120?

Greatest common factor (GCF) of 20110 and 20120 is 10.

GCF(20110,20120) = 10

We will now calculate the prime factors of 20110 and 20120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20110 and 20120.

How to find the GCF of 20110 and 20120?

We will first find the prime factorization of 20110 and 20120. After we will calculate the factors of 20110 and 20120 and find the biggest common factor number .

Step-1: Prime Factorization of 20110

Prime factors of 20110 are 2, 5, 2011. Prime factorization of 20110 in exponential form is:

20110 = 2¹ × 5¹ × 2011¹

Step-2: 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-3: Factors of 20110

List of positive integer factors of 20110 that divides 20110 without a remainder.

1, 2, 5, 10, 2011, 4022, 10055

Step-4: Factors of 20120

List of positive integer factors of 20120 that divides 20110 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20110 and 20120. The biggest common factor number is the GCF number.
So the greatest common factor 20110 and 20120 is 10.

Also check out the Least Common Multiple of 20110 and 20120