What is the Greatest Common Factor of 20000 and 20020?

Greatest common factor (GCF) of 20000 and 20020 is 20.

GCF(20000,20020) = 20

We will now calculate the prime factors of 20000 and 20020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20000 and 20020.

How to find the GCF of 20000 and 20020?

We will first find the prime factorization of 20000 and 20020. After we will calculate the factors of 20000 and 20020 and find the biggest common factor number .

Step-1: Prime Factorization of 20000

Prime factors of 20000 are 2, 5. Prime factorization of 20000 in exponential form is:

20000 = 2⁵ × 5⁴

Step-2: 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-3: Factors of 20000

List of positive integer factors of 20000 that divides 20000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 4000, 5000, 10000

Step-4: Factors of 20020

List of positive integer factors of 20020 that divides 20000 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20000 and 20020. The biggest common factor number is the GCF number.
So the greatest common factor 20000 and 20020 is 20.

Also check out the Least Common Multiple of 20000 and 20020