What is the Greatest Common Factor of 20020 and 20035?

Greatest common factor (GCF) of 20020 and 20035 is 5.

GCF(20020,20035) = 5

We will now calculate the prime factors of 20020 and 20035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20020 and 20035.

How to find the GCF of 20020 and 20035?

We will first find the prime factorization of 20020 and 20035. After we will calculate the factors of 20020 and 20035 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 20035

Prime factors of 20035 are 5, 4007. Prime factorization of 20035 in exponential form is:

20035 = 5¹ × 4007¹

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 20035

List of positive integer factors of 20035 that divides 20020 without a remainder.

1, 5, 4007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20020 and 20035. The biggest common factor number is the GCF number.
So the greatest common factor 20020 and 20035 is 5.

Also check out the Least Common Multiple of 20020 and 20035