What is the Greatest Common Factor of 20040 and 20052?

Greatest common factor (GCF) of 20040 and 20052 is 12.

GCF(20040,20052) = 12

We will now calculate the prime factors of 20040 and 20052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20040 and 20052.

How to find the GCF of 20040 and 20052?

We will first find the prime factorization of 20040 and 20052. After we will calculate the factors of 20040 and 20052 and find the biggest common factor number .

Step-1: Prime Factorization of 20040

Prime factors of 20040 are 2, 3, 5, 167. Prime factorization of 20040 in exponential form is:

20040 = 2³ × 3¹ × 5¹ × 167¹

Step-2: Prime Factorization of 20052

Prime factors of 20052 are 2, 3, 557. Prime factorization of 20052 in exponential form is:

20052 = 2² × 3² × 557¹

Step-3: Factors of 20040

List of positive integer factors of 20040 that divides 20040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 167, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 3340, 4008, 5010, 6680, 10020

Step-4: Factors of 20052

List of positive integer factors of 20052 that divides 20040 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 557, 1114, 1671, 2228, 3342, 5013, 6684, 10026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20040 and 20052. The biggest common factor number is the GCF number.
So the greatest common factor 20040 and 20052 is 12.

Also check out the Least Common Multiple of 20040 and 20052