What is the Greatest Common Factor of 20120 and 20136?

Greatest common factor (GCF) of 20120 and 20136 is 8.

GCF(20120,20136) = 8

We will now calculate the prime factors of 20120 and 20136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20120 and 20136.

How to find the GCF of 20120 and 20136?

We will first find the prime factorization of 20120 and 20136. After we will calculate the factors of 20120 and 20136 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 20136

Prime factors of 20136 are 2, 3, 839. Prime factorization of 20136 in exponential form is:

20136 = 2³ × 3¹ × 839¹

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 20136

List of positive integer factors of 20136 that divides 20120 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 839, 1678, 2517, 3356, 5034, 6712, 10068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20120 and 20136. The biggest common factor number is the GCF number.
So the greatest common factor 20120 and 20136 is 8.

Also check out the Least Common Multiple of 20120 and 20136