What is the Greatest Common Factor of 20020 and 20040?

Greatest common factor (GCF) of 20020 and 20040 is 20.

GCF(20020,20040) = 20

We will now calculate the prime factors of 20020 and 20040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20020 and 20040.

How to find the GCF of 20020 and 20040?

We will first find the prime factorization of 20020 and 20040. After we will calculate the factors of 20020 and 20040 and find the biggest common factor number .

Step-1: Prime Factorization of 20020

Prime factors of 20020 are 2, 5, 7, 11, 13. Prime factorization of 20020 in exponential form is:

20020 = 2² × 5¹ × 7¹ × 11¹ × 13¹

Step-2: 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-3: Factors of 20020

List of positive integer factors of 20020 that divides 20020 without a remainder.

1, 2, 4, 5, 7, 10, 11, 13, 14, 20, 22, 26, 28, 35, 44, 52, 55, 65, 70, 77, 91, 110, 130, 140, 143, 154, 182, 220, 260, 286, 308, 364, 385, 455, 572, 715, 770, 910, 1001, 1430, 1540, 1820, 2002, 2860, 4004, 5005, 10010

Step-4: Factors of 20040

List of positive integer factors of 20040 that divides 20020 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20020 and 20040. The biggest common factor number is the GCF number.
So the greatest common factor 20020 and 20040 is 20.

Also check out the Least Common Multiple of 20020 and 20040